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Simplifying -12(x + 1) + 6(3x + -4) = 5(x + -5) + 8 Reorder the terms: -12(1 + x) + 6(3x + -4) = 5(x + -5) + 8 (1 * -12 + x * -12) + 6(3x + -4) = 5(x + -5) + 8 (-12 + -12x) + 6(3x + -4) = 5(x + -5) + 8 Reorder the terms: -12 + -12x + 6(-4 + 3x) = 5(x + -5) + 8 -12 + -12x + (-4 * 6 + 3x * 6) = 5(x + -5) + 8 -12 + -12x + (-24 + 18x) = 5(x + -5) + 8 Reorder the terms: -12 + -24 + -12x + 18x = 5(x + -5) + 8 Combine like terms: -12 + -24 = -36 -36 + -12x + 18x = 5(x + -5) + 8 Combine like terms: -12x + 18x = 6x -36 + 6x = 5(x + -5) + 8 Reorder the terms: -36 + 6x = 5(-5 + x) + 8 -36 + 6x = (-5 * 5 + x * 5) + 8 -36 + 6x = (-25 + 5x) + 8 Reorder the terms: -36 + 6x = -25 + 8 + 5x Combine like terms: -25 + 8 = -17 -36 + 6x = -17 + 5x Solving -36 + 6x = -17 + 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. -36 + 6x + -5x = -17 + 5x + -5x Combine like terms: 6x + -5x = 1x -36 + 1x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 1x = -17 + 0 -36 + 1x = -17 Add '36' to each side of the equation. -36 + 36 + 1x = -17 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = -17 + 36 1x = -17 + 36 Combine like terms: -17 + 36 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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