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Simplifying -1(4x + -5) + -1(4x + -5) + 9 = -6(x + -1) + -1(6x + 6) + 3 Reorder the terms: -1(-5 + 4x) + -1(4x + -5) + 9 = -6(x + -1) + -1(6x + 6) + 3 (-5 * -1 + 4x * -1) + -1(4x + -5) + 9 = -6(x + -1) + -1(6x + 6) + 3 (5 + -4x) + -1(4x + -5) + 9 = -6(x + -1) + -1(6x + 6) + 3 Reorder the terms: 5 + -4x + -1(-5 + 4x) + 9 = -6(x + -1) + -1(6x + 6) + 3 5 + -4x + (-5 * -1 + 4x * -1) + 9 = -6(x + -1) + -1(6x + 6) + 3 5 + -4x + (5 + -4x) + 9 = -6(x + -1) + -1(6x + 6) + 3 Reorder the terms: 5 + 5 + 9 + -4x + -4x = -6(x + -1) + -1(6x + 6) + 3 Combine like terms: 5 + 5 = 10 10 + 9 + -4x + -4x = -6(x + -1) + -1(6x + 6) + 3 Combine like terms: 10 + 9 = 19 19 + -4x + -4x = -6(x + -1) + -1(6x + 6) + 3 Combine like terms: -4x + -4x = -8x 19 + -8x = -6(x + -1) + -1(6x + 6) + 3 Reorder the terms: 19 + -8x = -6(-1 + x) + -1(6x + 6) + 3 19 + -8x = (-1 * -6 + x * -6) + -1(6x + 6) + 3 19 + -8x = (6 + -6x) + -1(6x + 6) + 3 Reorder the terms: 19 + -8x = 6 + -6x + -1(6 + 6x) + 3 19 + -8x = 6 + -6x + (6 * -1 + 6x * -1) + 3 19 + -8x = 6 + -6x + (-6 + -6x) + 3 Reorder the terms: 19 + -8x = 6 + -6 + 3 + -6x + -6x Combine like terms: 6 + -6 = 0 19 + -8x = 0 + 3 + -6x + -6x 19 + -8x = 3 + -6x + -6x Combine like terms: -6x + -6x = -12x 19 + -8x = 3 + -12x Solving 19 + -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. 19 + -8x + 12x = 3 + -12x + 12x Combine like terms: -8x + 12x = 4x 19 + 4x = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 19 + 4x = 3 + 0 19 + 4x = 3 Add '-19' to each side of the equation. 19 + -19 + 4x = 3 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 3 + -19 4x = 3 + -19 Combine like terms: 3 + -19 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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