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Simplifying -1(4x + -5) + -1(4x + -6) + 8 = -7(x + -1) + -1(5x + 7) + 3 Reorder the terms: -1(-5 + 4x) + -1(4x + -6) + 8 = -7(x + -1) + -1(5x + 7) + 3 (-5 * -1 + 4x * -1) + -1(4x + -6) + 8 = -7(x + -1) + -1(5x + 7) + 3 (5 + -4x) + -1(4x + -6) + 8 = -7(x + -1) + -1(5x + 7) + 3 Reorder the terms: 5 + -4x + -1(-6 + 4x) + 8 = -7(x + -1) + -1(5x + 7) + 3 5 + -4x + (-6 * -1 + 4x * -1) + 8 = -7(x + -1) + -1(5x + 7) + 3 5 + -4x + (6 + -4x) + 8 = -7(x + -1) + -1(5x + 7) + 3 Reorder the terms: 5 + 6 + 8 + -4x + -4x = -7(x + -1) + -1(5x + 7) + 3 Combine like terms: 5 + 6 = 11 11 + 8 + -4x + -4x = -7(x + -1) + -1(5x + 7) + 3 Combine like terms: 11 + 8 = 19 19 + -4x + -4x = -7(x + -1) + -1(5x + 7) + 3 Combine like terms: -4x + -4x = -8x 19 + -8x = -7(x + -1) + -1(5x + 7) + 3 Reorder the terms: 19 + -8x = -7(-1 + x) + -1(5x + 7) + 3 19 + -8x = (-1 * -7 + x * -7) + -1(5x + 7) + 3 19 + -8x = (7 + -7x) + -1(5x + 7) + 3 Reorder the terms: 19 + -8x = 7 + -7x + -1(7 + 5x) + 3 19 + -8x = 7 + -7x + (7 * -1 + 5x * -1) + 3 19 + -8x = 7 + -7x + (-7 + -5x) + 3 Reorder the terms: 19 + -8x = 7 + -7 + 3 + -7x + -5x Combine like terms: 7 + -7 = 0 19 + -8x = 0 + 3 + -7x + -5x 19 + -8x = 3 + -7x + -5x Combine like terms: -7x + -5x = -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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