To simplify the expression \( 4x - (1 - 2x) + (2x - 7) \), follow these steps:
Distribute the negative sign in front of the first parentheses: \[ 4x - 1 + 2x + 2x - 7 \]
Combine like terms:
- The \(x\) terms: \(4x + 2x + 2x = 8x\)
- The constant terms: \(-1 - 7 = -8\)
So, the simplified expression is: \[ 8x - 8 \]
You can also factor this expression: \[ 8(x - 1) \]
Thus, the final answer can be expressed as either: \[ 8x - 8 \quad \text{or} \quad 8(x - 1) \]