Choice Choice D is the correct answer.

1. Start with the equation: $4x + 12 = 32$
2. Subtract 12 from both sides: $4x = 32 - 12$
3. Simplify: $4x = 20$
4. Divide both sides by 4: $x = \frac{20}{4}$
5. Simplify: $x = 5$
6. Verify: $4(5) + 12 = 20 + 12 = 32$ ✓

Choice Choice D is incorrect because this results from adding 12 to 32: $44$, then $44/4 = 11$. Wrong inverse operation.

Choice Choice B is incorrect because this is the value of $4x$. You need to divide by 4.

Choice Choice C is incorrect because this results from multiplying 20 by 4: $80$.