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Simplifying -2(3x + -4) = 12x + 2 Reorder the terms: -2(-4 + 3x) = 12x + 2 (-4 * -2 + 3x * -2) = 12x + 2 (8 + -6x) = 12x + 2 Reorder the terms: 8 + -6x = 2 + 12x Solving 8 + -6x = 2 + 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. 8 + -6x + -12x = 2 + 12x + -12x Combine like terms: -6x + -12x = -18x 8 + -18x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -18x = 2 + 0 8 + -18x = 2 Add '-8' to each side of the equation. 8 + -8 + -18x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -18x = 2 + -8 -18x = 2 + -8 Combine like terms: 2 + -8 = -6 -18x = -6 Divide each side by '-18'. x = 0.3333333333 Simplifying x = 0.3333333333
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