If x <= 7 then the answer will be 420, but if x > 7 then behavior is undefined because x will overflow, and x is signed, and signed integer overflow is UB in C, so the compiler is free to, for example, conclude that blazeit() is never called with x > 7, thus it can prove that blazeit() always returns 420. Besides, if the compiler chooses to implement signed integer overflow much like unsigned integer overflow, then x will eventually come around to 7 anyways, so the answer must be 420.
I expect the compiler would optimize the tail recursion into a loop, so the likely worst case is not that you blow the stack but that you spin for a while.