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Simplifying -1(9x + -5) + -1(2x + -6) + 8 = -9(x + -1) + -1(5x + -8) + 3 Reorder the terms: -1(-5 + 9x) + -1(2x + -6) + 8 = -9(x + -1) + -1(5x + -8) + 3 (-5 * -1 + 9x * -1) + -1(2x + -6) + 8 = -9(x + -1) + -1(5x + -8) + 3 (5 + -9x) + -1(2x + -6) + 8 = -9(x + -1) + -1(5x + -8) + 3 Reorder the terms: 5 + -9x + -1(-6 + 2x) + 8 = -9(x + -1) + -1(5x + -8) + 3 5 + -9x + (-6 * -1 + 2x * -1) + 8 = -9(x + -1) + -1(5x + -8) + 3 5 + -9x + (6 + -2x) + 8 = -9(x + -1) + -1(5x + -8) + 3 Reorder the terms: 5 + 6 + 8 + -9x + -2x = -9(x + -1) + -1(5x + -8) + 3 Combine like terms: 5 + 6 = 11 11 + 8 + -9x + -2x = -9(x + -1) + -1(5x + -8) + 3 Combine like terms: 11 + 8 = 19 19 + -9x + -2x = -9(x + -1) + -1(5x + -8) + 3 Combine like terms: -9x + -2x = -11x 19 + -11x = -9(x + -1) + -1(5x + -8) + 3 Reorder the terms: 19 + -11x = -9(-1 + x) + -1(5x + -8) + 3 19 + -11x = (-1 * -9 + x * -9) + -1(5x + -8) + 3 19 + -11x = (9 + -9x) + -1(5x + -8) + 3 Reorder the terms: 19 + -11x = 9 + -9x + -1(-8 + 5x) + 3 19 + -11x = 9 + -9x + (-8 * -1 + 5x * -1) + 3 19 + -11x = 9 + -9x + (8 + -5x) + 3 Reorder the terms: 19 + -11x = 9 + 8 + 3 + -9x + -5x Combine like terms: 9 + 8 = 17 19 + -11x = 17 + 3 + -9x + -5x Combine like terms: 17 + 3 = 20 19 + -11x = 20 + -9x + -5x Combine like terms: -9x + -5x = -14x 19 + -11x = 20 + -14x Solving 19 + -11x = 20 + -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 = 20 + -14x + 14x Combine like terms: -11x + 14x = 3x 19 + 3x = 20 + -14x + 14x Combine like terms: -14x + 14x = 0 19 + 3x = 20 + 0 19 + 3x = 20 Add '-19' to each side of the equation. 19 + -19 + 3x = 20 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 20 + -19 3x = 20 + -19 Combine like terms: 20 + -19 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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