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Harry Kane netted his first goal of the season, as Tottenham thrashed Stoke City 4-0 at the Bet 365 Stadium.
Son Heung-min opened the scoring for the away side just before the break from close range, then followed up with a second on 56 minutes from an awkward angle.
Deli Alli put the game beyond Stoke just before the hour mark, the Englishman tapping in from close range from Kyle Walker’s pass.
Goalscorer turned provider in the second half as Son’s pacey cross was met by Kane for his first goal in nine matches.
Watford stunned West Ham by coming from 2-0 down to win 4-2 at the London Stadium.
The Irons were cruising after two early Michael Antonio headers, but Watford hit back with two goals in five minutes before the break from Odion Ighalo and Troy Deeney.
Etienne Capoue gave the Hornets the lead on 53 minutes with a spectacular half-volley, then Jose Holebas netted with a smart finish ten minutes later as Watford recorded their first Premier League win of this season.
Crystal Palace secured their first victory of the season with a 2-1 victory over Middlesbrough at the Riverside, in the process inflicting a first defeat of the season on Aitor Karanka's side.
New signing Christian Benteke opened his account for his new club on 16 minutes when the Belgium international got on the end of a well-timed Wilfred Zaha cross to powerfully head home.
Boro levelled on 38 minutes when Stewart Downing found Daniel Ayala, who matched Benteke with his own strong, accurate header.
Despite coming under some pressure, Palace were able to hold firm and they were rewarded when James McArthur played in Zaha to put his side ahead two minutes after the break.
‘Boro had two penalty appeals waved away right at the depth, the referee waving away Scott Dann’s apparent handball and only awarding a free-kick when it appeared George Friend was impeded by Zaha just inside the area.
Arsenal left it late at the Emirates Stadium, with Santi Cazorla netting an injury-time penalty as the Gunners sneaked a 2-1 win over Southampton.
The Spaniard netted in the 94th minute, after referee Bobby Madley blew up for a Jose Fonte foul on Olivier Giroud although the Portuguese Euro 2016 winner looked to have got a touch on the ball.
The Saints took the lead on 18 minutes when Arsenal goalkeeper Petr Cech unluckily and unknowingly deflected the ball into his own net after initially tipping a Dusan Tadic free-kick onto the underside of the bar.
Laurent Koscielny equalised for the Gunners with an overhead kick just before the half-hour mark after Southampton had failed to clear Cazorla's corner.
Callum Wilson scored a brilliant 79th-minute winner as Bournemouth beat West Bromwich Albion 1-0 at the Vitality Stadium to secure the Cherries' first Premier League win of the season.
The 24-year-old, who missed most of last season with a knee injury, brilliantly converted Adam Smith's cross with a neat flick at the far post past Baggies' goalkeeper Ben Foster.
Robert Snodgrass netted a 95th-minute equaliser, as Hull City drew 1-1 with Burnley at Turf Moor.
Following their impressive 2-0 win over Liverpool last month, Sean Dyche's side looked on course for back-to-back home Premier League wins when summer signing Steven Defour netted a fine individual goal on 72 minutes.
But Scotland international Snodgrass levelled deep into injury-time with a free-kick past Clarets' goalkeeper Tom Heaton, following Ben Mee's foul on Tom Huddlestone.
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