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Simplifying 3(4x + 5) = 2(5x + -7) Reorder the terms: 3(5 + 4x) = 2(5x + -7) (5 * 3 + 4x * 3) = 2(5x + -7) (15 + 12x) = 2(5x + -7) Reorder the terms: 15 + 12x = 2(-7 + 5x) 15 + 12x = (-7 * 2 + 5x * 2) 15 + 12x = (-14 + 10x) Solving 15 + 12x = -14 + 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 + 12x + -10x = -14 + 10x + -10x Combine like terms: 12x + -10x = 2x 15 + 2x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + 2x = -14 + 0 15 + 2x = -14 Add '-15' to each side of the equation. 15 + -15 + 2x = -14 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -14 + -15 2x = -14 + -15 Combine like terms: -14 + -15 = -29 2x = -29 Divide each side by '2'. x = -14.5 Simplifying x = -14.5
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