Choice Ahoice C is the correct answer.

1. Start with the equation: $8x + 16 = 32$
2. Subtract 16 from both sides: $8x = 32 - 16$
3. Simplify: $8x = 16$
4. Divide both sides by 8: $x = \frac{16}{8}$
5. Simplify: $x = 2$
6. Verify: $8(2) + 16 = 16 + 16 = 32$ ✓

Choice Ahoice C is incorrect because this results from adding 16 to 32: $48$, then $48/8 = 6$. Wrong inverse operation.

Choice Ahoice D is incorrect because this is the value of $8x$. You need to divide by 8.

Choice Ahoice B is incorrect because this results from multiplying 16 by 8: $128$.