Question

Which expression is equivalent to%C2%A0 17x−10+3(2x+1) ?(1 point) Responses 11x−9 11 x minus 9 11x−7 11 x minus 7 23x−9 23 x minus 9 23x−7 23 x minus 7

Answer 1

To find the expression equivalent to \( 17x - 10 + 3(2x + 1) \), we can simplify it step by step.

1. Start with the expression:
\[
17x - 10 + 3(2x + 1)
\]

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

3. Now substitute back into the expression:
\[
17x - 10 + 6x + 3
\]

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

5. Therefore, the simplified expression is:
\[
23x - 7
\]

Thus, the equivalent expression is:
\[
\boxed{23x - 7}
\]