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Simplifying 3(4x + -9) = 6(12x + -5) Reorder the terms: 3(-9 + 4x) = 6(12x + -5) (-9 * 3 + 4x * 3) = 6(12x + -5) (-27 + 12x) = 6(12x + -5) Reorder the terms: -27 + 12x = 6(-5 + 12x) -27 + 12x = (-5 * 6 + 12x * 6) -27 + 12x = (-30 + 72x) Solving -27 + 12x = -30 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -27 + 12x + -72x = -30 + 72x + -72x Combine like terms: 12x + -72x = -60x -27 + -60x = -30 + 72x + -72x Combine like terms: 72x + -72x = 0 -27 + -60x = -30 + 0 -27 + -60x = -30 Add '27' to each side of the equation. -27 + 27 + -60x = -30 + 27 Combine like terms: -27 + 27 = 0 0 + -60x = -30 + 27 -60x = -30 + 27 Combine like terms: -30 + 27 = -3 -60x = -3 Divide each side by '-60'. x = 0.05 Simplifying x = 0.05
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