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Simplifying 12(6 + -1x) = 12(4x + 5) + 2 (6 * 12 + -1x * 12) = 12(4x + 5) + 2 (72 + -12x) = 12(4x + 5) + 2 Reorder the terms: 72 + -12x = 12(5 + 4x) + 2 72 + -12x = (5 * 12 + 4x * 12) + 2 72 + -12x = (60 + 48x) + 2 Reorder the terms: 72 + -12x = 60 + 2 + 48x Combine like terms: 60 + 2 = 62 72 + -12x = 62 + 48x Solving 72 + -12x = 62 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 72 + -12x + -48x = 62 + 48x + -48x Combine like terms: -12x + -48x = -60x 72 + -60x = 62 + 48x + -48x Combine like terms: 48x + -48x = 0 72 + -60x = 62 + 0 72 + -60x = 62 Add '-72' to each side of the equation. 72 + -72 + -60x = 62 + -72 Combine like terms: 72 + -72 = 0 0 + -60x = 62 + -72 -60x = 62 + -72 Combine like terms: 62 + -72 = -10 -60x = -10 Divide each side by '-60'. x = 0.1666666667 Simplifying x = 0.1666666667
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