Not sure that this is a V7. Feels more V5/5+. Did the problem as a direct, as I've seen many people follow out to the right hand side a bit around the "bridge of the nose" which seems to make it closer to a V3/4 past the initial power up to the ledge. Keeping to the left of the nose-bridge feels certainly harder, but not near a V7.
With it being such an elimination style climb, it is hard to determine what the "intended" route is. Too far right, but still "left of the crack/flake" seems too easy, too far left runs into the territory of king crab's description.