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Summer signing Lazar Markovic scored his first Premier League goal in Liverpool colours.
The Reds have now gone seven matches in all competitions without losing, winning five.
Meanwhile, the struggling Black Cats have won just one of their last 11 Premier League matches.
Burnley 2-1 Queens Park Rangers
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The R's set a new Premier League record as they lost their 10th away match on the run this season.
Also, of the five goals that they have scored on the road, Charlie Austin has fired in four of them.
Meanwhile, hosting Burnley are unbeaten from their last four encounters in all competitions.
Chelsea 2-0 Newcastle United
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The Blues became only the fifth team in Premier League history to win their opening 10 Premier League home games.
Their second goal was scored by Diego Costa, who found the net for the 15th time in the Premier League this season.
Caretaker manager John Carver has won none of his three matches in charge of Newcastle.
Everton 1-1 Manchester City
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The draw ended a run of four consecutive Premier League defeats for the hosting Toffees.
As for Man City, they dropped points for only the second time in their last 10 Premier League outings.
Their goalscorer - Fernandinho - has scored twice this season from just three goals attempts.
Leicester City 1-0 Aston Villa
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The Foxes won for just the second time at the King Power Stadium this season.
Meanwhile, Villa have picked up four red cards in their last six Premier League outings.
Paul Lambert's men have won just two of their last 17 Premier League matches.
Swansea City 1-1 West Ham United
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Andy Carroll has scored four Premier League goals this term, three of which have come against Swansea.
The Hammers have not won any of their last five matches in all competitions, drawing three and losing two.
Swansea have lost just one Premier League game in front of their own supporters at the Liberty Stadium this season.
West Bromwich Albion 1-0 Hull City
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With Tony Pulis now at the helm, West Brom won for just the second time in 11 Premier League matches.
Having gone 11 games without a goal, Saido Berahino has now scored six goals in his last three outings.
Meanwhile, the visiting Tigers have won just one of their last 14 Premier League games.
Crystal Palace 2-1 Tottenham Hotspur
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Alan Pardew's Palace ended a run of eight Premier League encounters without a victory.
Visiting Spurs, on the other hand, lost for only the second time in 10 outings.
Their goalscorer - Harry Kane - found the net for the seventh time in his last eight appearances.
Arsenal 3-0 Stoke City
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Alexis Sanchez has been involved in 19 goals this season - more than any other Premier League player.
In all competitions, the summer arrival from Barcelona has found the net on 18 occasions.
Stoke boss Mark Hughes has never won at the Emirates Stadium as a manager.
Manchester United 0-1 Southampton
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Man United have 37 points after 21 games - exactly the same return that they had at this stage last season under David Moyes's management.
The Red Devils failed to record a single shot on target for the first time at Old Trafford since May 2009.
For Southampton, their victory was the first that they had achieved away at United in 27 years.
