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Simplifying 3(4x + -3) = 2(5x + -7) Reorder the terms: 3(-3 + 4x) = 2(5x + -7) (-3 * 3 + 4x * 3) = 2(5x + -7) (-9 + 12x) = 2(5x + -7) Reorder the terms: -9 + 12x = 2(-7 + 5x) -9 + 12x = (-7 * 2 + 5x * 2) -9 + 12x = (-14 + 10x) Solving -9 + 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. -9 + 12x + -10x = -14 + 10x + -10x Combine like terms: 12x + -10x = 2x -9 + 2x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 -9 + 2x = -14 + 0 -9 + 2x = -14 Add '9' to each side of the equation. -9 + 9 + 2x = -14 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -14 + 9 2x = -14 + 9 Combine like terms: -14 + 9 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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