The above video is an edited version of one of Bill Belichick's recent press conferences regarding deflategate. Belichick is known for always being in a negative mood - (think of a monotone "mad robot"). This makes him a bit more difficult to interpret his body language - but not if you know what to look for.
Note that throughout this video, the New England Patriots football coach speaks out of the right side of his mouth. Unless a person has this speaking idiosyncrasy when telling the truth (which the Super Bowl bound Bostonian does not) then such an asymmetrical speaking configuration is indicative of deception.
Both Bill Belichick and Tom Brady are lying.
Take home point: When you see a person speaking out of one side of their mouth, and this is not their "norm" when truth-telling (for a small minority of people it is their normal, baseline behavior) - know this: they are being insincere or telling a lie.
Nonverbal Communication Analysis No. 3079: Tom Brady, Deflategate - Part Deux
Nonverbal Communication Analysis No. 3078: Tom Brady, Deflategate, Deception and Body Language
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Negotiation Secret No. 111: A Sure Red Flag of Insincerity - John Edwards
Nonverbal Communication Analysis No. 2474: Mayor Bob Filner's False Smile - Insincerity, Body Language and San Diego