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Simplifying -1(5x + -5) + -1(3x + -6) = -6(x + -1) + -1(6x + 6) + 3 Reorder the terms: -1(-5 + 5x) + -1(3x + -6) = -6(x + -1) + -1(6x + 6) + 3 (-5 * -1 + 5x * -1) + -1(3x + -6) = -6(x + -1) + -1(6x + 6) + 3 (5 + -5x) + -1(3x + -6) = -6(x + -1) + -1(6x + 6) + 3 Reorder the terms: 5 + -5x + -1(-6 + 3x) = -6(x + -1) + -1(6x + 6) + 3 5 + -5x + (-6 * -1 + 3x * -1) = -6(x + -1) + -1(6x + 6) + 3 5 + -5x + (6 + -3x) = -6(x + -1) + -1(6x + 6) + 3 Reorder the terms: 5 + 6 + -5x + -3x = -6(x + -1) + -1(6x + 6) + 3 Combine like terms: 5 + 6 = 11 11 + -5x + -3x = -6(x + -1) + -1(6x + 6) + 3 Combine like terms: -5x + -3x = -8x 11 + -8x = -6(x + -1) + -1(6x + 6) + 3 Reorder the terms: 11 + -8x = -6(-1 + x) + -1(6x + 6) + 3 11 + -8x = (-1 * -6 + x * -6) + -1(6x + 6) + 3 11 + -8x = (6 + -6x) + -1(6x + 6) + 3 Reorder the terms: 11 + -8x = 6 + -6x + -1(6 + 6x) + 3 11 + -8x = 6 + -6x + (6 * -1 + 6x * -1) + 3 11 + -8x = 6 + -6x + (-6 + -6x) + 3 Reorder the terms: 11 + -8x = 6 + -6 + 3 + -6x + -6x Combine like terms: 6 + -6 = 0 11 + -8x = 0 + 3 + -6x + -6x 11 + -8x = 3 + -6x + -6x Combine like terms: -6x + -6x = -12x 11 + -8x = 3 + -12x Solving 11 + -8x = 3 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 11 + -8x + 12x = 3 + -12x + 12x Combine like terms: -8x + 12x = 4x 11 + 4x = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 11 + 4x = 3 + 0 11 + 4x = 3 Add '-11' to each side of the equation. 11 + -11 + 4x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 3 + -11 4x = 3 + -11 Combine like terms: 3 + -11 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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