Simplify the expression.

Question

7x+3(x−2)−4x+8
(1 point)
Responses

6x+14
6 x plus 14

6x+2
6 x plus 2

14x+2
14 x plus 2

14x+14

Answer 1

To simplify the expression \( 7x + 3(x - 2) - 4x + 8 \), follow these steps:

1. Distribute the \( 3 \) in \( 3(x - 2) \): \[ 3(x - 2) = 3x - 6 \]

2. Substitute this back into the original expression: \[ 7x + (3x - 6) - 4x + 8 \]

3. Combine like terms:

   • Combine the \( x \) terms: \( 7x + 3x - 4x = (7 + 3 - 4)x = 6x \)
   • Combine the constant terms: \( -6 + 8 = 2 \)

Putting it all together, the simplified expression is: \[ 6x + 2 \]

So, the correct response is: 6x + 2