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Simplifying -1(6 + -3x) + 2(x + -5) = 12 + -2x + -3(2x + 4) (6 * -1 + -3x * -1) + 2(x + -5) = 12 + -2x + -3(2x + 4) (-6 + 3x) + 2(x + -5) = 12 + -2x + -3(2x + 4) Reorder the terms: -6 + 3x + 2(-5 + x) = 12 + -2x + -3(2x + 4) -6 + 3x + (-5 * 2 + x * 2) = 12 + -2x + -3(2x + 4) -6 + 3x + (-10 + 2x) = 12 + -2x + -3(2x + 4) Reorder the terms: -6 + -10 + 3x + 2x = 12 + -2x + -3(2x + 4) Combine like terms: -6 + -10 = -16 -16 + 3x + 2x = 12 + -2x + -3(2x + 4) Combine like terms: 3x + 2x = 5x -16 + 5x = 12 + -2x + -3(2x + 4) Reorder the terms: -16 + 5x = 12 + -2x + -3(4 + 2x) -16 + 5x = 12 + -2x + (4 * -3 + 2x * -3) -16 + 5x = 12 + -2x + (-12 + -6x) Reorder the terms: -16 + 5x = 12 + -12 + -2x + -6x Combine like terms: 12 + -12 = 0 -16 + 5x = 0 + -2x + -6x -16 + 5x = -2x + -6x Combine like terms: -2x + -6x = -8x -16 + 5x = -8x Solving -16 + 5x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -16 + 5x + 8x = -8x + 8x Combine like terms: 5x + 8x = 13x -16 + 13x = -8x + 8x Combine like terms: -8x + 8x = 0 -16 + 13x = 0 Add '16' to each side of the equation. -16 + 16 + 13x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 13x = 0 + 16 13x = 0 + 16 Combine like terms: 0 + 16 = 16 13x = 16 Divide each side by '13'. x = 1.230769231 Simplifying x = 1.230769231
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