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Simplifying 3(x + 5) = 5(2x + -4) Reorder the terms: 3(5 + x) = 5(2x + -4) (5 * 3 + x * 3) = 5(2x + -4) (15 + 3x) = 5(2x + -4) Reorder the terms: 15 + 3x = 5(-4 + 2x) 15 + 3x = (-4 * 5 + 2x * 5) 15 + 3x = (-20 + 10x) Solving 15 + 3x = -20 + 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 + 3x + -10x = -20 + 10x + -10x Combine like terms: 3x + -10x = -7x 15 + -7x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -7x = -20 + 0 15 + -7x = -20 Add '-15' to each side of the equation. 15 + -15 + -7x = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -20 + -15 -7x = -20 + -15 Combine like terms: -20 + -15 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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