Question

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

11x−9
11 x minus 9

23x−9
23 x minus 9

23x−7
23 x minus 7

11x−7

Answer 1

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

1. Distribute the \( 3 \) to the terms inside the parentheses:
\[
3(2x + 1) = 3 \cdot 2x + 3 \cdot 1 = 6x + 3
\]

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

3. Combine like terms:
- Combine the \( x \) terms: \( 17x + 6x = 23x \)
- Combine the constant terms: \( -10 + 3 = -7 \)

Thus, the expression simplifies to:
\[
23x - 7
\]

The correct response is:
**23x−7**.