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Simplifying -2(3x + -4) = 3x + 12 Reorder the terms: -2(-4 + 3x) = 3x + 12 (-4 * -2 + 3x * -2) = 3x + 12 (8 + -6x) = 3x + 12 Reorder the terms: 8 + -6x = 12 + 3x Solving 8 + -6x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -6x + -3x = 12 + 3x + -3x Combine like terms: -6x + -3x = -9x 8 + -9x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -9x = 12 + 0 8 + -9x = 12 Add '-8' to each side of the equation. 8 + -8 + -9x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 12 + -8 -9x = 12 + -8 Combine like terms: 12 + -8 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444
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