To simplify the expression \( 6(3x - 5) + 2(3x - 5) - 8(3x - 5) \), begin by factoring out the common term \( (3x - 5) \).
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Factor out \( (3x - 5) \): \[ [6 + 2 - 8](3x - 5) \]
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Simplify the coefficients: \[ 6 + 2 - 8 = 0 \]
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Thus, the expression simplifies to: \[ 0(3x - 5) = 0 \]
Therefore, the simplified expression is \( \boxed{0} \).