To simplify the expression \( 4(2x - 5) - 3(x + 11) + 5 \), follow these steps:
Distribute the \(4\) and \(-3\) in the expression: \[ 4(2x - 5) = 8x - 20 \] \[ -3(x + 11) = -3x - 33 \]
Substitute these results back into the expression: \[ 8x - 20 - 3x - 33 + 5 \]
Combine like terms:
- Combine the \(x\) terms: \(8x - 3x = 5x\)
- Combine the constant terms: \(-20 - 33 + 5 = -48\)
The simplified expression is: \[ 5x - 48 \]
So, \(4(2x - 5) - 3(x + 11) + 5 = 5x - 48\).
