Choice Ahoice D is the correct answer.

1. Start with the equation: $\frac{x}{4} + 2 = 7$
2. Subtract 2 from both sides: $\frac{x}{4} = 7 - 2$
3. Simplify: $\frac{x}{4} = 5$
4. Multiply both sides by 4: $x = 5 \times 4$
5. Simplify: $x = 20$
6. Verify: $\frac{20}{4} + 2 = 5 + 2 = 7$ ✓

Choice Ahoice C is incorrect because this results from adding 2 to 7: $9$, then $9 \times 4 = 36$. Wrong inverse operation.

Choice Ahoice C is incorrect because this is the value of $\frac{x}{4}$. You must multiply by 4.

Choice Ahoice D is incorrect because this results from dividing 5 by 4: $5/4 = 1.25$. We need to multiply.