For all integers x, the function f is defined as
f(x) = x - 1 if x is even
f(x) = x + 1 if x is odd
If a and b are integers and f(a) + f(b) = a + b, which of the following statements must be true?
a = b, a = -b, a + b is odd., Both a and b are even., Both a and b are odd.
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