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Simplifying -1(2x + -9) + -1(8x + -4) + 2 = -8(x + -4) + -1(9x + 6) + 2 Reorder the terms: -1(-9 + 2x) + -1(8x + -4) + 2 = -8(x + -4) + -1(9x + 6) + 2 (-9 * -1 + 2x * -1) + -1(8x + -4) + 2 = -8(x + -4) + -1(9x + 6) + 2 (9 + -2x) + -1(8x + -4) + 2 = -8(x + -4) + -1(9x + 6) + 2 Reorder the terms: 9 + -2x + -1(-4 + 8x) + 2 = -8(x + -4) + -1(9x + 6) + 2 9 + -2x + (-4 * -1 + 8x * -1) + 2 = -8(x + -4) + -1(9x + 6) + 2 9 + -2x + (4 + -8x) + 2 = -8(x + -4) + -1(9x + 6) + 2 Reorder the terms: 9 + 4 + 2 + -2x + -8x = -8(x + -4) + -1(9x + 6) + 2 Combine like terms: 9 + 4 = 13 13 + 2 + -2x + -8x = -8(x + -4) + -1(9x + 6) + 2 Combine like terms: 13 + 2 = 15 15 + -2x + -8x = -8(x + -4) + -1(9x + 6) + 2 Combine like terms: -2x + -8x = -10x 15 + -10x = -8(x + -4) + -1(9x + 6) + 2 Reorder the terms: 15 + -10x = -8(-4 + x) + -1(9x + 6) + 2 15 + -10x = (-4 * -8 + x * -8) + -1(9x + 6) + 2 15 + -10x = (32 + -8x) + -1(9x + 6) + 2 Reorder the terms: 15 + -10x = 32 + -8x + -1(6 + 9x) + 2 15 + -10x = 32 + -8x + (6 * -1 + 9x * -1) + 2 15 + -10x = 32 + -8x + (-6 + -9x) + 2 Reorder the terms: 15 + -10x = 32 + -6 + 2 + -8x + -9x Combine like terms: 32 + -6 = 26 15 + -10x = 26 + 2 + -8x + -9x Combine like terms: 26 + 2 = 28 15 + -10x = 28 + -8x + -9x Combine like terms: -8x + -9x = -17x 15 + -10x = 28 + -17x Solving 15 + -10x = 28 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 15 + -10x + 17x = 28 + -17x + 17x Combine like terms: -10x + 17x = 7x 15 + 7x = 28 + -17x + 17x Combine like terms: -17x + 17x = 0 15 + 7x = 28 + 0 15 + 7x = 28 Add '-15' to each side of the equation. 15 + -15 + 7x = 28 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 28 + -15 7x = 28 + -15 Combine like terms: 28 + -15 = 13 7x = 13 Divide each side by '7'. x = 1.857142857 Simplifying x = 1.857142857
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