Let's simplify the expression step by step:
Given expression:
\( 7x + 3(x - 2) - 4x + 8 \)
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Distribute \( 3 \) into \( (x - 2) \): \[ 3(x - 2) = 3x - 6 \] So the expression now is: \[ 7x + 3x - 6 - 4x + 8 \]
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Combine like terms:
- Combine \( 7x + 3x - 4x \): \[ 7x + 3x - 4x = (7 + 3 - 4)x = 6x \]
- Combine the constant terms \( -6 + 8 \): \[ -6 + 8 = 2 \]
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Putting it all together: \[ 6x + 2 \]
Thus, the expression simplifies to \( 6x + 2 \).
The correct response is:
6x + 2