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What would it take to get Tom Brady to shave his glorious hair? How about $7.5 MILLION for cancer research!?

That's how it went down in Massachusetts on Thursday -- where the QB took an electric razor to the dome at an event benefiting the Dana-Farber Cancer Institute ... this according to a rep for the Patriots.

Brady teamed up with Massachusetts governor Charlie Baker for the event -- and yeah, Baker shaved his head, too!