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Simplifying -12(5 + -1x) = 2(12 + 3x) (5 * -12 + -1x * -12) = 2(12 + 3x) (-60 + 12x) = 2(12 + 3x) -60 + 12x = (12 * 2 + 3x * 2) -60 + 12x = (24 + 6x) Solving -60 + 12x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -60 + 12x + -6x = 24 + 6x + -6x Combine like terms: 12x + -6x = 6x -60 + 6x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 -60 + 6x = 24 + 0 -60 + 6x = 24 Add '60' to each side of the equation. -60 + 60 + 6x = 24 + 60 Combine like terms: -60 + 60 = 0 0 + 6x = 24 + 60 6x = 24 + 60 Combine like terms: 24 + 60 = 84 6x = 84 Divide each side by '6'. x = 14 Simplifying x = 14
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