To solve the inequality \( 3x > x - 8 \), you can follow these steps:
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Subtract \( x \) from both sides to get all terms involving \( x \) on one side: \[ 3x - x > -8 \]
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Simplify the left side: \[ 2x > -8 \]
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Divide both sides by 2 to solve for \( x \): \[ x > -4 \]
So, the solution to the inequality \( 3x > x - 8 \) is: \[ \boxed{x > -4} \]