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To solve the inequality 31 > -5 + 4x, we can start by adding 5 to both sides:
31 + 5 > -5 + 4x + 5
36 > 4x
Next, we divide both sides by 4 to isolate x:
36/4 > 4x/4
9 > x
Therefore, the solution set is x < 9.
So, the correct answer is D) x < 9.