In this expression the 'balls' are the 'testicles', and it is an ordinary way of expressing that something or someone causes us annoyance. See break, embolar, egg pain.
In Costa Rica Meaning : Disturb , Fuck , Annoy .
BREAK THE BALLS In Argentina : Get out of the way. Import, disturb, make angry, break the ass, screw, take the choros out of the basket.