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Simplifying 5(2x + 5) = 31(7 + 2x) Reorder the terms: 5(5 + 2x) = 31(7 + 2x) (5 * 5 + 2x * 5) = 31(7 + 2x) (25 + 10x) = 31(7 + 2x) 25 + 10x = (7 * 31 + 2x * 31) 25 + 10x = (217 + 62x) Solving 25 + 10x = 217 + 62x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62x' to each side of the equation. 25 + 10x + -62x = 217 + 62x + -62x Combine like terms: 10x + -62x = -52x 25 + -52x = 217 + 62x + -62x Combine like terms: 62x + -62x = 0 25 + -52x = 217 + 0 25 + -52x = 217 Add '-25' to each side of the equation. 25 + -25 + -52x = 217 + -25 Combine like terms: 25 + -25 = 0 0 + -52x = 217 + -25 -52x = 217 + -25 Combine like terms: 217 + -25 = 192 -52x = 192 Divide each side by '-52'. x = -3.692307692 Simplifying x = -3.692307692
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