To simplify the expression \((3x - 8) + (2x + 5) - (4x - 8)\), follow these steps:
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Distribute the negative sign in front of the last parentheses: \[ (3x - 8) + (2x + 5) - 4x + 8 \]
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Now, combine like terms. Start with the \(x\) terms: \[ 3x + 2x - 4x = (3 + 2 - 4)x = 1x = x \]
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Next, combine the constant terms: \[ -8 + 5 + 8 = (-8 + 5 + 8) = 5 \]
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Putting it all together, the simplified expression is: \[ x + 5 \]
Thus, the final simplified result is: \[ \boxed{x + 5} \]
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