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Derek Forbort had a goal and an assist and Devin Setoguchi and Tyler Toffoli also scored for Los Angeles.
Dustin Brown scored for Los Angeles and Peter Budaj stopped 26 shots.
Adam Lowry enjoyed watching Patrik Laine and Mark Scheifele team up to lift the Winnipeg Jets to another victory on Sunday.
Dwight King scored early in the second period for the Kings.
Tyler Toffoli scored the lone goal for the Kings (7-7-0) while Peter Budaj made 19 saves.
Tanner Pearson and Tyler Toffoli added goals in the second period and Dustin Brown, Kyle Clifford and Dwight King also scored.
Devin Setoguchi scored twice and goalie Peter Budaj stopped 24 shots for his first shutout in three years as the Los Angeles Kings beat the Calgary Flames 5-0 on Saturday night.
Trevor Lewis and Matt Greene scored slump-busting goals and Peter Budaj made 21 saves in a strong bounce-back effort for the Kings.
The Kings have been shut out in three straight games for the first time since 1968-69, their second NHL season.
Corey Crawford made 32 saves, Jonathan Toews and Marian Hossa each had a power-play goal and the Chicago Blackhawks beat the Los Angeles Kings 3-0 on Sunday night.
Jake Muzzin and Tyler Toffoli also scored for Los Angeles and Nic Dowd and Alec Martinez each had two assists.
Drew Doughty scored the tying goal with 5:57 left in regulation for the Kings.
The Kings had lost their first three games. Dallas fell to 2-1-1.
Tanner Pearson had two goals, both assisted by Jeff Carter, and Anze Kopitar also scored in the third period for the Kings.
Boyd Gordon and Sean Couturier scored 48 seconds apart to kick off Philadelphia's four-goal second period, and the Flyers got their season off to a roaring start with a 4-2 victory over the Los Angeles Kings on Friday night.
