Choice Dhoice C is the correct answer.

1. Start with the equation: $7x + 14 = 49$
2. Subtract 14 from both sides: $7x = 49 - 14$
3. Simplify: $7x = 35$
4. Divide both sides by 7: $x = \frac{35}{7}$
5. Simplify: $x = 5$
6. Verify: $7(5) + 14 = 35 + 14 = 49$ ✓

Choice Dhoice B is incorrect because this results from adding 14 to 49: $63$, then $63/7 = 9$. Wrong inverse operation.

Choice Dhoice D is incorrect because this is the value of $7x$. You need to divide by 7.

Choice Dhoice C is incorrect because this results from multiplying 35 by 7: $245$.