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Simplifying 3(4x + -9) = 5(2x + -5) Reorder the terms: 3(-9 + 4x) = 5(2x + -5) (-9 * 3 + 4x * 3) = 5(2x + -5) (-27 + 12x) = 5(2x + -5) Reorder the terms: -27 + 12x = 5(-5 + 2x) -27 + 12x = (-5 * 5 + 2x * 5) -27 + 12x = (-25 + 10x) Solving -27 + 12x = -25 + 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. -27 + 12x + -10x = -25 + 10x + -10x Combine like terms: 12x + -10x = 2x -27 + 2x = -25 + 10x + -10x Combine like terms: 10x + -10x = 0 -27 + 2x = -25 + 0 -27 + 2x = -25 Add '27' to each side of the equation. -27 + 27 + 2x = -25 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = -25 + 27 2x = -25 + 27 Combine like terms: -25 + 27 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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