Bestie Boys were actually punk before they started to rap. As far as Anthrax goes I don't really know. Remember that around the same time Aerosmith worked w/ Run DMC on "Walk This Way". It's really hard to tell who did it first. Especially if you're talking about combining rock/rap in general. Because then you'd have to take in to consideration all the garage bands that could've done it and never made it big.
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Ain't nothin' but a Gear thang, baby!
Ain't nothin' but a Gear thang, baby!