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Pedro, Gary Cahill and substitute Willian were on target, as Chelsea beat Everton 3-0 at Goodison Park to extend their lead at the top of the Premier League table.
Chelsea now lead second-placed Tottenham by seven points ahead of Sunday's North London derby between Mauricio Pochettino's side and Arsenal at White Hart Lane.
Antonio Conte's side now need just three wins from their final four matches, at home to Middlesbrough, Watford and Sunderland and away at West Brom, to secure their second title in three years.
Chelsea opened the scoring on 69 minutes with a thunderous Pedro shot from the edge of the area from Nemanja Matic's short pass, although Phil Jagielka will feel he should have blocked the former Barcelona forward's turn ahead of the strike.
Cahill then doubled the lead on 79 minutes with a tap-in off his knee, after Toffees' goalkeeper Maarten Stekelenburg had pushed Eden Hazard's free-kick straight to the feet of the England defender.
And substitutes Cesc Fabregas and Willian combined for the third on 87 minutes following a flowing one-touch move that also involved Diego Costa.
Gabriel Jesus scored an 85th-minute equaliser, as Manchester City snatched a 2-2 draw with Middlesbrough at the Riverside.
Former City player Alvaro Negredo opened the scoring for Boro on 38 minutes, but Sergio Aguero levelled with a 69th minute penalty to became the club's second-highest scorer outright, with his 167th goal on his 250th appearance for the club.
Calum Chambers restored Boro's lead on 77 minutes, but Jesus converted Aguero's cross from close range eight minutes later to secure a share of the spoils for Pep Guardiola's side.
Manchester City stay fourth, one place above Manchester United in fifth, while Boro are six points from safety with three matches to play.
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