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Simplifying -1(3x + -4) + -1(5x + -4) + 9 = -2(x + -9) + -1(9x + 6) + 9 Reorder the terms: -1(-4 + 3x) + -1(5x + -4) + 9 = -2(x + -9) + -1(9x + 6) + 9 (-4 * -1 + 3x * -1) + -1(5x + -4) + 9 = -2(x + -9) + -1(9x + 6) + 9 (4 + -3x) + -1(5x + -4) + 9 = -2(x + -9) + -1(9x + 6) + 9 Reorder the terms: 4 + -3x + -1(-4 + 5x) + 9 = -2(x + -9) + -1(9x + 6) + 9 4 + -3x + (-4 * -1 + 5x * -1) + 9 = -2(x + -9) + -1(9x + 6) + 9 4 + -3x + (4 + -5x) + 9 = -2(x + -9) + -1(9x + 6) + 9 Reorder the terms: 4 + 4 + 9 + -3x + -5x = -2(x + -9) + -1(9x + 6) + 9 Combine like terms: 4 + 4 = 8 8 + 9 + -3x + -5x = -2(x + -9) + -1(9x + 6) + 9 Combine like terms: 8 + 9 = 17 17 + -3x + -5x = -2(x + -9) + -1(9x + 6) + 9 Combine like terms: -3x + -5x = -8x 17 + -8x = -2(x + -9) + -1(9x + 6) + 9 Reorder the terms: 17 + -8x = -2(-9 + x) + -1(9x + 6) + 9 17 + -8x = (-9 * -2 + x * -2) + -1(9x + 6) + 9 17 + -8x = (18 + -2x) + -1(9x + 6) + 9 Reorder the terms: 17 + -8x = 18 + -2x + -1(6 + 9x) + 9 17 + -8x = 18 + -2x + (6 * -1 + 9x * -1) + 9 17 + -8x = 18 + -2x + (-6 + -9x) + 9 Reorder the terms: 17 + -8x = 18 + -6 + 9 + -2x + -9x Combine like terms: 18 + -6 = 12 17 + -8x = 12 + 9 + -2x + -9x Combine like terms: 12 + 9 = 21 17 + -8x = 21 + -2x + -9x Combine like terms: -2x + -9x = -11x 17 + -8x = 21 + -11x Solving 17 + -8x = 21 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 17 + -8x + 11x = 21 + -11x + 11x Combine like terms: -8x + 11x = 3x 17 + 3x = 21 + -11x + 11x Combine like terms: -11x + 11x = 0 17 + 3x = 21 + 0 17 + 3x = 21 Add '-17' to each side of the equation. 17 + -17 + 3x = 21 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 21 + -17 3x = 21 + -17 Combine like terms: 21 + -17 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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