Question

Which expression is equivalent to 17x−10+3(2x+1)
?(1 point)
Responses

11x−7
11 x minus 7

23x−7
23 x minus 7

23x−9
23 x minus 9

11x−9

Answer 1

To simplify the expression \(17x - 10 + 3(2x + 1)\), we can follow these steps:

1. Distribute the \(3\) into the parentheses:
\[
3(2x + 1) = 6x + 3
\]

2. Substitute this back into the original expression:
\[
17x - 10 + 6x + 3
\]

3. Now combine the like terms:
- Combine \(17x\) and \(6x\):
\[
17x + 6x = 23x
\]
- Combine \(-10\) and \(3\):
\[
-10 + 3 = -7
\]

4. Putting it all together, we have:
\[
23x - 7
\]

So, the equivalent expression is \(23x - 7\).

The correct response is:
**23x−7**