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Simplifying -5(12x + -4) = 10(5x + 2) Reorder the terms: -5(-4 + 12x) = 10(5x + 2) (-4 * -5 + 12x * -5) = 10(5x + 2) (20 + -60x) = 10(5x + 2) Reorder the terms: 20 + -60x = 10(2 + 5x) 20 + -60x = (2 * 10 + 5x * 10) 20 + -60x = (20 + 50x) Add '-20' to each side of the equation. 20 + -20 + -60x = 20 + -20 + 50x Combine like terms: 20 + -20 = 0 0 + -60x = 20 + -20 + 50x -60x = 20 + -20 + 50x Combine like terms: 20 + -20 = 0 -60x = 0 + 50x -60x = 50x Solving -60x = 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -60x + -50x = 50x + -50x Combine like terms: -60x + -50x = -110x -110x = 50x + -50x Combine like terms: 50x + -50x = 0 -110x = 0 Divide each side by '-110'. x = 0 Simplifying x = 0
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