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Simplifying -12(x + 3) + 6(3x + -6) = 5(x + -6) + 8 Reorder the terms: -12(3 + x) + 6(3x + -6) = 5(x + -6) + 8 (3 * -12 + x * -12) + 6(3x + -6) = 5(x + -6) + 8 (-36 + -12x) + 6(3x + -6) = 5(x + -6) + 8 Reorder the terms: -36 + -12x + 6(-6 + 3x) = 5(x + -6) + 8 -36 + -12x + (-6 * 6 + 3x * 6) = 5(x + -6) + 8 -36 + -12x + (-36 + 18x) = 5(x + -6) + 8 Reorder the terms: -36 + -36 + -12x + 18x = 5(x + -6) + 8 Combine like terms: -36 + -36 = -72 -72 + -12x + 18x = 5(x + -6) + 8 Combine like terms: -12x + 18x = 6x -72 + 6x = 5(x + -6) + 8 Reorder the terms: -72 + 6x = 5(-6 + x) + 8 -72 + 6x = (-6 * 5 + x * 5) + 8 -72 + 6x = (-30 + 5x) + 8 Reorder the terms: -72 + 6x = -30 + 8 + 5x Combine like terms: -30 + 8 = -22 -72 + 6x = -22 + 5x Solving -72 + 6x = -22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -72 + 6x + -5x = -22 + 5x + -5x Combine like terms: 6x + -5x = 1x -72 + 1x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -72 + 1x = -22 + 0 -72 + 1x = -22 Add '72' to each side of the equation. -72 + 72 + 1x = -22 + 72 Combine like terms: -72 + 72 = 0 0 + 1x = -22 + 72 1x = -22 + 72 Combine like terms: -22 + 72 = 50 1x = 50 Divide each side by '1'. x = 50 Simplifying x = 50
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