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Simplifying -1(2x + -2) + -1(9x + -3) + 9 = -5(x + -2) + -1(8x + 2) + 9 Reorder the terms: -1(-2 + 2x) + -1(9x + -3) + 9 = -5(x + -2) + -1(8x + 2) + 9 (-2 * -1 + 2x * -1) + -1(9x + -3) + 9 = -5(x + -2) + -1(8x + 2) + 9 (2 + -2x) + -1(9x + -3) + 9 = -5(x + -2) + -1(8x + 2) + 9 Reorder the terms: 2 + -2x + -1(-3 + 9x) + 9 = -5(x + -2) + -1(8x + 2) + 9 2 + -2x + (-3 * -1 + 9x * -1) + 9 = -5(x + -2) + -1(8x + 2) + 9 2 + -2x + (3 + -9x) + 9 = -5(x + -2) + -1(8x + 2) + 9 Reorder the terms: 2 + 3 + 9 + -2x + -9x = -5(x + -2) + -1(8x + 2) + 9 Combine like terms: 2 + 3 = 5 5 + 9 + -2x + -9x = -5(x + -2) + -1(8x + 2) + 9 Combine like terms: 5 + 9 = 14 14 + -2x + -9x = -5(x + -2) + -1(8x + 2) + 9 Combine like terms: -2x + -9x = -11x 14 + -11x = -5(x + -2) + -1(8x + 2) + 9 Reorder the terms: 14 + -11x = -5(-2 + x) + -1(8x + 2) + 9 14 + -11x = (-2 * -5 + x * -5) + -1(8x + 2) + 9 14 + -11x = (10 + -5x) + -1(8x + 2) + 9 Reorder the terms: 14 + -11x = 10 + -5x + -1(2 + 8x) + 9 14 + -11x = 10 + -5x + (2 * -1 + 8x * -1) + 9 14 + -11x = 10 + -5x + (-2 + -8x) + 9 Reorder the terms: 14 + -11x = 10 + -2 + 9 + -5x + -8x Combine like terms: 10 + -2 = 8 14 + -11x = 8 + 9 + -5x + -8x Combine like terms: 8 + 9 = 17 14 + -11x = 17 + -5x + -8x Combine like terms: -5x + -8x = -13x 14 + -11x = 17 + -13x Solving 14 + -11x = 17 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 14 + -11x + 13x = 17 + -13x + 13x Combine like terms: -11x + 13x = 2x 14 + 2x = 17 + -13x + 13x Combine like terms: -13x + 13x = 0 14 + 2x = 17 + 0 14 + 2x = 17 Add '-14' to each side of the equation. 14 + -14 + 2x = 17 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 17 + -14 2x = 17 + -14 Combine like terms: 17 + -14 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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