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Verified answer
F(x) = ax - 2g(x) = 2x + d
(fog)(x) = (gof)(x)
f(g(x)) = g(f(x))
f(2x + d) = g(ax - 2)
a(2x + d) - 2 = 2(ax - 2) + d
2ax + ad - 2 = 2ax - 4 + d
ad - 2 = -4 + d
ad - d = -4 + 2
d(a - 1) = -2