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Simplifying -3(2x + -4) = 2(-12 + 6x) Reorder the terms: -3(-4 + 2x) = 2(-12 + 6x) (-4 * -3 + 2x * -3) = 2(-12 + 6x) (12 + -6x) = 2(-12 + 6x) 12 + -6x = (-12 * 2 + 6x * 2) 12 + -6x = (-24 + 12x) Solving 12 + -6x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + -6x + -12x = -24 + 12x + -12x Combine like terms: -6x + -12x = -18x 12 + -18x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -18x = -24 + 0 12 + -18x = -24 Add '-12' to each side of the equation. 12 + -12 + -18x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = -24 + -12 -18x = -24 + -12 Combine like terms: -24 + -12 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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