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Simplifying -4(3x + 6) = 12(6 + -4x) + 12 Reorder the terms: -4(6 + 3x) = 12(6 + -4x) + 12 (6 * -4 + 3x * -4) = 12(6 + -4x) + 12 (-24 + -12x) = 12(6 + -4x) + 12 -24 + -12x = (6 * 12 + -4x * 12) + 12 -24 + -12x = (72 + -48x) + 12 Reorder the terms: -24 + -12x = 72 + 12 + -48x Combine like terms: 72 + 12 = 84 -24 + -12x = 84 + -48x Solving -24 + -12x = 84 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -24 + -12x + 48x = 84 + -48x + 48x Combine like terms: -12x + 48x = 36x -24 + 36x = 84 + -48x + 48x Combine like terms: -48x + 48x = 0 -24 + 36x = 84 + 0 -24 + 36x = 84 Add '24' to each side of the equation. -24 + 24 + 36x = 84 + 24 Combine like terms: -24 + 24 = 0 0 + 36x = 84 + 24 36x = 84 + 24 Combine like terms: 84 + 24 = 108 36x = 108 Divide each side by '36'. x = 3 Simplifying x = 3
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