Final Answer:
The equivalent expression is D. 6x + 12. This choice correctly represents the simplified form of 1/6(6x) + 12, which simplifies to x + 12.Thus,the correct option is D. 6x + 12
Step-by-step explanation:
The expression 1/6(6x) + 12 can be simplified by first recognizing that 1/6 times 6x cancels out to x, leaving us with x + 12. Therefore, the equivalent expression is x + 12. However, when comparing the given options, only option D, 6x + 12, matches this simplified form.
To break it down further, when you distribute 1/6 to 6x, (1/6) * 6x simplifies to x, and adding 12 to x gives the final expression x + 12. Option D, 6x + 12, directly aligns with this simplified result. The other options, such as A. x + 12, do not capture the multiplication by 1/6, making them different from the original expression.
In conclusion, after evaluating and simplifying the given expression, the equivalent expression is x + 12, which is accurately represented by option D, 6x + 12. Therefore, the correct answer to the question is D.