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Simplifying -1(6x + -5) + -1(5x + -6) + 8 = -7(x + -1) + -1(7x + 6) + 3 Reorder the terms: -1(-5 + 6x) + -1(5x + -6) + 8 = -7(x + -1) + -1(7x + 6) + 3 (-5 * -1 + 6x * -1) + -1(5x + -6) + 8 = -7(x + -1) + -1(7x + 6) + 3 (5 + -6x) + -1(5x + -6) + 8 = -7(x + -1) + -1(7x + 6) + 3 Reorder the terms: 5 + -6x + -1(-6 + 5x) + 8 = -7(x + -1) + -1(7x + 6) + 3 5 + -6x + (-6 * -1 + 5x * -1) + 8 = -7(x + -1) + -1(7x + 6) + 3 5 + -6x + (6 + -5x) + 8 = -7(x + -1) + -1(7x + 6) + 3 Reorder the terms: 5 + 6 + 8 + -6x + -5x = -7(x + -1) + -1(7x + 6) + 3 Combine like terms: 5 + 6 = 11 11 + 8 + -6x + -5x = -7(x + -1) + -1(7x + 6) + 3 Combine like terms: 11 + 8 = 19 19 + -6x + -5x = -7(x + -1) + -1(7x + 6) + 3 Combine like terms: -6x + -5x = -11x 19 + -11x = -7(x + -1) + -1(7x + 6) + 3 Reorder the terms: 19 + -11x = -7(-1 + x) + -1(7x + 6) + 3 19 + -11x = (-1 * -7 + x * -7) + -1(7x + 6) + 3 19 + -11x = (7 + -7x) + -1(7x + 6) + 3 Reorder the terms: 19 + -11x = 7 + -7x + -1(6 + 7x) + 3 19 + -11x = 7 + -7x + (6 * -1 + 7x * -1) + 3 19 + -11x = 7 + -7x + (-6 + -7x) + 3 Reorder the terms: 19 + -11x = 7 + -6 + 3 + -7x + -7x Combine like terms: 7 + -6 = 1 19 + -11x = 1 + 3 + -7x + -7x Combine like terms: 1 + 3 = 4 19 + -11x = 4 + -7x + -7x Combine like terms: -7x + -7x = -14x 19 + -11x = 4 + -14x Solving 19 + -11x = 4 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 19 + -11x + 14x = 4 + -14x + 14x Combine like terms: -11x + 14x = 3x 19 + 3x = 4 + -14x + 14x Combine like terms: -14x + 14x = 0 19 + 3x = 4 + 0 19 + 3x = 4 Add '-19' to each side of the equation. 19 + -19 + 3x = 4 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 4 + -19 3x = 4 + -19 Combine like terms: 4 + -19 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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