Choice Bhoice D is the correct answer. To solve this subtraction equation, we add to both sides.

1. Start with the equation: $x - 11 = 34$
2. Add 11 to both sides: $x = 34 + 11$
3. Calculate: $x = 45$
4. Verify: $45 - 11 = 34$ ✓

Addition is consistently the inverse operation of subtraction.

Choice Bhoice C is incorrect because this results from subtracting instead of adding: $34 - 11 = 23$. This applies subtraction twice.

Choice Bhoice A is incorrect because this is the negative of Choice Bhoice C. Perhaps from incorrectly calculating $11 - 34 = -23$ (reversing the order).

Choice Bhoice C is incorrect because this results from dividing: $\frac{34}{11} \approx 3.09$. Division is not relevant for this subtraction equation.