Let's solve the inequality \( 2(2x - 8) - 8x < 0 \).
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Expand the left-hand side: \[ 2(2x - 8) = 4x - 16 \] So the inequality becomes: \[ 4x - 16 - 8x < 0 \]
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Combine like terms: \[ 4x - 8x - 16 < 0 \] This simplifies to: \[ -4x - 16 < 0 \]
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Add 16 to both sides: \[ -4x < 16 \]
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Divide by -4 (remember to reverse the inequality sign): \[ x > -4 \]
Thus, the solution to the inequality is: \[ x > -4 \]