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Simplifying 29x + 100 = 65x + -80 Reorder the terms: 100 + 29x = 65x + -80 Reorder the terms: 100 + 29x = -80 + 65x Solving 100 + 29x = -80 + 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. 100 + 29x + -65x = -80 + 65x + -65x Combine like terms: 29x + -65x = -36x 100 + -36x = -80 + 65x + -65x Combine like terms: 65x + -65x = 0 100 + -36x = -80 + 0 100 + -36x = -80 Add '-100' to each side of the equation. 100 + -100 + -36x = -80 + -100 Combine like terms: 100 + -100 = 0 0 + -36x = -80 + -100 -36x = -80 + -100 Combine like terms: -80 + -100 = -180 -36x = -180 Divide each side by '-36'. x = 5 Simplifying x = 5
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