Final answer:
The equivalent expression to 1/6 (6x) + 12 is x + 12. To simplify, we multiply 1/6 by 6x to get x, and then add 12. The correct option is c) x + 12.
Step-by-step explanation:
The student's question involves simplifying a given algebraic expression. Specifically, we want to find which expression is equivalent to 1/6 (6x) + 12. To do this, we follow the standard order of operations, which are parentheses, exponents, multiplication and division from left to right, and finally addition and subtraction from left to right.
First, we simplify within the parentheses. Multiplying 1/6 by 6x, we get:
1/6 * 6x = x
Next, we add the 12:
x + 12
Therefore, the expression 1/6 (6x) + 12 simplifies to x + 12, which makes option c) the correct answer.