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Simplifying 5(3x + 2) = 8(9 + -2x) Reorder the terms: 5(2 + 3x) = 8(9 + -2x) (2 * 5 + 3x * 5) = 8(9 + -2x) (10 + 15x) = 8(9 + -2x) 10 + 15x = (9 * 8 + -2x * 8) 10 + 15x = (72 + -16x) Solving 10 + 15x = 72 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 10 + 15x + 16x = 72 + -16x + 16x Combine like terms: 15x + 16x = 31x 10 + 31x = 72 + -16x + 16x Combine like terms: -16x + 16x = 0 10 + 31x = 72 + 0 10 + 31x = 72 Add '-10' to each side of the equation. 10 + -10 + 31x = 72 + -10 Combine like terms: 10 + -10 = 0 0 + 31x = 72 + -10 31x = 72 + -10 Combine like terms: 72 + -10 = 62 31x = 62 Divide each side by '31'. x = 2 Simplifying x = 2
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