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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 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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