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