Question

Which expression is equivalent to the expression below?
3, left parenthesis, 6, x, plus, 7, right parenthesis, plus, 7, x
3(6x+7)+7x
Answer
Multiple Choice Answers
11, x, plus, 711x+7
3, left parenthesis, 6, x, plus, 77, x, right parenthesis3(6x+77x)
2, x, plus, 102x+10
25, x, plus, 2125x+21

Answer 1

To simplify the expression \(3(6x + 7) + 7x\):

1. Distribute \(3\) into the parentheses:
\[
3(6x) + 3(7) + 7x = 18x + 21 + 7x
\]

2. Combine like terms \(18x\) and \(7x\):
\[
18x + 7x + 21 = 25x + 21
\]

So, the expression simplifies to \(25x + 21\).

Among the provided multiple choice answers, the correct equivalent expression is:
**25, x, plus, 21 (25x + 21)**.