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Simplifying -12(x + 2) + 6(3x + -6) = 5(x + -4) + 8 Reorder the terms: -12(2 + x) + 6(3x + -6) = 5(x + -4) + 8 (2 * -12 + x * -12) + 6(3x + -6) = 5(x + -4) + 8 (-24 + -12x) + 6(3x + -6) = 5(x + -4) + 8 Reorder the terms: -24 + -12x + 6(-6 + 3x) = 5(x + -4) + 8 -24 + -12x + (-6 * 6 + 3x * 6) = 5(x + -4) + 8 -24 + -12x + (-36 + 18x) = 5(x + -4) + 8 Reorder the terms: -24 + -36 + -12x + 18x = 5(x + -4) + 8 Combine like terms: -24 + -36 = -60 -60 + -12x + 18x = 5(x + -4) + 8 Combine like terms: -12x + 18x = 6x -60 + 6x = 5(x + -4) + 8 Reorder the terms: -60 + 6x = 5(-4 + x) + 8 -60 + 6x = (-4 * 5 + x * 5) + 8 -60 + 6x = (-20 + 5x) + 8 Reorder the terms: -60 + 6x = -20 + 8 + 5x Combine like terms: -20 + 8 = -12 -60 + 6x = -12 + 5x Solving -60 + 6x = -12 + 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. -60 + 6x + -5x = -12 + 5x + -5x Combine like terms: 6x + -5x = 1x -60 + 1x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -60 + 1x = -12 + 0 -60 + 1x = -12 Add '60' to each side of the equation. -60 + 60 + 1x = -12 + 60 Combine like terms: -60 + 60 = 0 0 + 1x = -12 + 60 1x = -12 + 60 Combine like terms: -12 + 60 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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