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Simplifying 3(3x + 5) = 5(2x + -2) Reorder the terms: 3(5 + 3x) = 5(2x + -2) (5 * 3 + 3x * 3) = 5(2x + -2) (15 + 9x) = 5(2x + -2) Reorder the terms: 15 + 9x = 5(-2 + 2x) 15 + 9x = (-2 * 5 + 2x * 5) 15 + 9x = (-10 + 10x) Solving 15 + 9x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + 9x + -10x = -10 + 10x + -10x Combine like terms: 9x + -10x = -1x 15 + -1x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -1x = -10 + 0 15 + -1x = -10 Add '-15' to each side of the equation. 15 + -15 + -1x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -10 + -15 -1x = -10 + -15 Combine like terms: -10 + -15 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25
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