Like the Boolean toggling example, this doesn't create an even distribution.
Initially, x = 0
After 1, x = +1 or -1
After 2, x = +2, 0, 0, or -2
After 3, x = +3, +1, +1, -1, +1, -1, -1, or -3
After 4, x = +4, +2, +2, 0, +2, 0, 0, -2, +2, 0, 0, -2, 0, -2, -2, or -4
in other words, there are...