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Simplifying -1(2x + -8) + -1(6x + -2) + 8 = -9(x + -3) + -1(6x + 8) + 5 Reorder the terms: -1(-8 + 2x) + -1(6x + -2) + 8 = -9(x + -3) + -1(6x + 8) + 5 (-8 * -1 + 2x * -1) + -1(6x + -2) + 8 = -9(x + -3) + -1(6x + 8) + 5 (8 + -2x) + -1(6x + -2) + 8 = -9(x + -3) + -1(6x + 8) + 5 Reorder the terms: 8 + -2x + -1(-2 + 6x) + 8 = -9(x + -3) + -1(6x + 8) + 5 8 + -2x + (-2 * -1 + 6x * -1) + 8 = -9(x + -3) + -1(6x + 8) + 5 8 + -2x + (2 + -6x) + 8 = -9(x + -3) + -1(6x + 8) + 5 Reorder the terms: 8 + 2 + 8 + -2x + -6x = -9(x + -3) + -1(6x + 8) + 5 Combine like terms: 8 + 2 = 10 10 + 8 + -2x + -6x = -9(x + -3) + -1(6x + 8) + 5 Combine like terms: 10 + 8 = 18 18 + -2x + -6x = -9(x + -3) + -1(6x + 8) + 5 Combine like terms: -2x + -6x = -8x 18 + -8x = -9(x + -3) + -1(6x + 8) + 5 Reorder the terms: 18 + -8x = -9(-3 + x) + -1(6x + 8) + 5 18 + -8x = (-3 * -9 + x * -9) + -1(6x + 8) + 5 18 + -8x = (27 + -9x) + -1(6x + 8) + 5 Reorder the terms: 18 + -8x = 27 + -9x + -1(8 + 6x) + 5 18 + -8x = 27 + -9x + (8 * -1 + 6x * -1) + 5 18 + -8x = 27 + -9x + (-8 + -6x) + 5 Reorder the terms: 18 + -8x = 27 + -8 + 5 + -9x + -6x Combine like terms: 27 + -8 = 19 18 + -8x = 19 + 5 + -9x + -6x Combine like terms: 19 + 5 = 24 18 + -8x = 24 + -9x + -6x Combine like terms: -9x + -6x = -15x 18 + -8x = 24 + -15x Solving 18 + -8x = 24 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 18 + -8x + 15x = 24 + -15x + 15x Combine like terms: -8x + 15x = 7x 18 + 7x = 24 + -15x + 15x Combine like terms: -15x + 15x = 0 18 + 7x = 24 + 0 18 + 7x = 24 Add '-18' to each side of the equation. 18 + -18 + 7x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 24 + -18 7x = 24 + -18 Combine like terms: 24 + -18 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571
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