To simplify the expression \(3 - (4x - 5) + 6\), follow these steps:
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Distribute the negative sign inside the parentheses: \[ 3 - 4x + 5 + 6 \]
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Combine like terms:
- Combine the constants: \(3 + 5 + 6 = 14\)
- So, the expression now becomes: \[ -4x + 14 \]
The simplified result is: \[ \boxed{-4x + 14} \]