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Simplifying 2(6 + -1x) = 3(2x + 12) (6 * 2 + -1x * 2) = 3(2x + 12) (12 + -2x) = 3(2x + 12) Reorder the terms: 12 + -2x = 3(12 + 2x) 12 + -2x = (12 * 3 + 2x * 3) 12 + -2x = (36 + 6x) Solving 12 + -2x = 36 + 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. 12 + -2x + -6x = 36 + 6x + -6x Combine like terms: -2x + -6x = -8x 12 + -8x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -8x = 36 + 0 12 + -8x = 36 Add '-12' to each side of the equation. 12 + -12 + -8x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 36 + -12 -8x = 36 + -12 Combine like terms: 36 + -12 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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