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Simplifying -1(2x + -2) + -1(8x + -8) + 2 = -9(x + -7) + -1(8x + 6) + 8 Reorder the terms: -1(-2 + 2x) + -1(8x + -8) + 2 = -9(x + -7) + -1(8x + 6) + 8 (-2 * -1 + 2x * -1) + -1(8x + -8) + 2 = -9(x + -7) + -1(8x + 6) + 8 (2 + -2x) + -1(8x + -8) + 2 = -9(x + -7) + -1(8x + 6) + 8 Reorder the terms: 2 + -2x + -1(-8 + 8x) + 2 = -9(x + -7) + -1(8x + 6) + 8 2 + -2x + (-8 * -1 + 8x * -1) + 2 = -9(x + -7) + -1(8x + 6) + 8 2 + -2x + (8 + -8x) + 2 = -9(x + -7) + -1(8x + 6) + 8 Reorder the terms: 2 + 8 + 2 + -2x + -8x = -9(x + -7) + -1(8x + 6) + 8 Combine like terms: 2 + 8 = 10 10 + 2 + -2x + -8x = -9(x + -7) + -1(8x + 6) + 8 Combine like terms: 10 + 2 = 12 12 + -2x + -8x = -9(x + -7) + -1(8x + 6) + 8 Combine like terms: -2x + -8x = -10x 12 + -10x = -9(x + -7) + -1(8x + 6) + 8 Reorder the terms: 12 + -10x = -9(-7 + x) + -1(8x + 6) + 8 12 + -10x = (-7 * -9 + x * -9) + -1(8x + 6) + 8 12 + -10x = (63 + -9x) + -1(8x + 6) + 8 Reorder the terms: 12 + -10x = 63 + -9x + -1(6 + 8x) + 8 12 + -10x = 63 + -9x + (6 * -1 + 8x * -1) + 8 12 + -10x = 63 + -9x + (-6 + -8x) + 8 Reorder the terms: 12 + -10x = 63 + -6 + 8 + -9x + -8x Combine like terms: 63 + -6 = 57 12 + -10x = 57 + 8 + -9x + -8x Combine like terms: 57 + 8 = 65 12 + -10x = 65 + -9x + -8x Combine like terms: -9x + -8x = -17x 12 + -10x = 65 + -17x Solving 12 + -10x = 65 + -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. 12 + -10x + 17x = 65 + -17x + 17x Combine like terms: -10x + 17x = 7x 12 + 7x = 65 + -17x + 17x Combine like terms: -17x + 17x = 0 12 + 7x = 65 + 0 12 + 7x = 65 Add '-12' to each side of the equation. 12 + -12 + 7x = 65 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 65 + -12 7x = 65 + -12 Combine like terms: 65 + -12 = 53 7x = 53 Divide each side by '7'. x = 7.571428571 Simplifying x = 7.571428571
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