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

Question

?(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