Question

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

Answer 1

To simplify the expression \( 17x + 10 - 3(2x + 1) \), we will 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 this back into the original expression:
\[
17x + 10 - 6x - 3
\]

3. Combine like terms:
- Combine the \( x \) terms: \( 17x - 6x = 11x \)
- Combine the constant terms: \( 10 - 3 = 7 \)

Putting it all together, we get:
\[
11x + 7
\]

Thus, the expression \( 17x + 10 - 3(2x + 1) \) simplifies to \( 11x + 7 \).

The equivalent expression is **11x + 7**.