Loose neutral on a backstabbed outlet" is basically the official diagnosis. I saw a forum post once where a guy said he just starts every AFCI call by checking every single outlet on the circuit for backstabs before he even looks at the panel. Saves him a ton of time.
My buddy had a call last week that was exactly what grace_knight70 said. He went straight to the outlets, found a backstab in the master bedroom that you could wiggle the wire right out of. Took him ten minutes total.