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