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Simplifying 13x + 31 = 29x + -65 Reorder the terms: 31 + 13x = 29x + -65 Reorder the terms: 31 + 13x = -65 + 29x Solving 31 + 13x = -65 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 31 + 13x + -29x = -65 + 29x + -29x Combine like terms: 13x + -29x = -16x 31 + -16x = -65 + 29x + -29x Combine like terms: 29x + -29x = 0 31 + -16x = -65 + 0 31 + -16x = -65 Add '-31' to each side of the equation. 31 + -31 + -16x = -65 + -31 Combine like terms: 31 + -31 = 0 0 + -16x = -65 + -31 -16x = -65 + -31 Combine like terms: -65 + -31 = -96 -16x = -96 Divide each side by '-16'. x = 6 Simplifying x = 6
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