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Simplifying -6(-1x + -5) = -12(5x + -8) Reorder the terms: -6(-5 + -1x) = -12(5x + -8) (-5 * -6 + -1x * -6) = -12(5x + -8) (30 + 6x) = -12(5x + -8) Reorder the terms: 30 + 6x = -12(-8 + 5x) 30 + 6x = (-8 * -12 + 5x * -12) 30 + 6x = (96 + -60x) Solving 30 + 6x = 96 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. 30 + 6x + 60x = 96 + -60x + 60x Combine like terms: 6x + 60x = 66x 30 + 66x = 96 + -60x + 60x Combine like terms: -60x + 60x = 0 30 + 66x = 96 + 0 30 + 66x = 96 Add '-30' to each side of the equation. 30 + -30 + 66x = 96 + -30 Combine like terms: 30 + -30 = 0 0 + 66x = 96 + -30 66x = 96 + -30 Combine like terms: 96 + -30 = 66 66x = 66 Divide each side by '66'. x = 1 Simplifying x = 1
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