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: \[ \boxed{23x - 7} \]