Brady passed for 340 yards and a touchdown and ran for another score, diving head-first between two defenders in a rare run by the 41-year-old quarterback.
"We've got a lot of clutch players and we have no problems grinding it out", Brady said.
The Patriots got their clock-killing opportunity with a pair of huge plays by Brady's two most targeted weapons of the season so far. He also passed former teammate Adam Vinatieri for most career wins in the regular season and playoffs combined with 227. The Patriots piled up 173 rushing yards, including 106 by rookie tailback Sony Michel.
"Yeah, you know, we had confidence", Brady said in his postgame press conference. "I think we have no problem grinding it out".
Mahomes ended his night passing for 352 yards and four touchdowns, setting a Chiefs' record for five straight 300-yard passing games.
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The company said Wednesday that it has an unpaid tax bill of 1.14 million pounds ($1.5 million). The Serious Fraud Office said it had "opened a criminal investigation into an individual".
Late in the fourth quarter trailing by seven, Patrick Mahomes stepped up in the pocket and unleashed a bomb to Hill, who made a leaping catch then ran untouched into the end zone for the touchdown.
"I missed some throws, " Mahomes said.
Before you could blink, the Chiefs were up 33-30 with 6:22 left in the contest.
Even with his heroics, the Chiefs still needed more from quarterback Patrick Mahomes. They are 6-1 with Mahomes as their starting quarterback, counting the final regular-season game against the Denver Broncos past year. The Patriots ultimately won 43-40 on Stephen Gostkowski's 28-yard field goal as time expired. It was the Chiefs first loss of the season.
Everything changed in the second half.
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Tom Brady revealed to reporters after the game what he was thinking when he saw Mahomes and Hill connect for the long game-tying touchdown. New England moved into field goal range on Rob Gronkowski's biggest play of the day, a 39-yard heave down the right side.
But Kansas City kept coming.
The Patriots will travel to Chicago and take on the Bears next Sunday. One put the Patriots on the Kansas City 4-yard line, and they took advantage of the favorable field position for a touchdown.
On Sunday, the quarterback did it again - and again - to leads the Patriots to a insane 43-40 win over the Chiefs. The play set up 50-yard field goal by Gostkowski. Chiefs Coach Andy Reid sparked a debate by having his team kick an extra point, rather than attempting a tying two-point conversion, in the final moments of the third quarter.
"You know, still some growing pains and stuff like that I've got to work out in practice, and through the course of just being here junst under a month", Gordon said. "We kind of shot ourselves in the foot a little bit early and you can't do that against a good football team".
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Black Ops 4 also broke the Xbox One record for best-selling digital game of all time for Activision. Call of Duty: Black Ops IIII launched for PlayStation 4, Xbox One, and PC on October 12.