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Simplifying -1(2x + -5) + -1(7x + -6) + 9 = -8(x + -3) + -1(7x + 2) + 5 Reorder the terms: -1(-5 + 2x) + -1(7x + -6) + 9 = -8(x + -3) + -1(7x + 2) + 5 (-5 * -1 + 2x * -1) + -1(7x + -6) + 9 = -8(x + -3) + -1(7x + 2) + 5 (5 + -2x) + -1(7x + -6) + 9 = -8(x + -3) + -1(7x + 2) + 5 Reorder the terms: 5 + -2x + -1(-6 + 7x) + 9 = -8(x + -3) + -1(7x + 2) + 5 5 + -2x + (-6 * -1 + 7x * -1) + 9 = -8(x + -3) + -1(7x + 2) + 5 5 + -2x + (6 + -7x) + 9 = -8(x + -3) + -1(7x + 2) + 5 Reorder the terms: 5 + 6 + 9 + -2x + -7x = -8(x + -3) + -1(7x + 2) + 5 Combine like terms: 5 + 6 = 11 11 + 9 + -2x + -7x = -8(x + -3) + -1(7x + 2) + 5 Combine like terms: 11 + 9 = 20 20 + -2x + -7x = -8(x + -3) + -1(7x + 2) + 5 Combine like terms: -2x + -7x = -9x 20 + -9x = -8(x + -3) + -1(7x + 2) + 5 Reorder the terms: 20 + -9x = -8(-3 + x) + -1(7x + 2) + 5 20 + -9x = (-3 * -8 + x * -8) + -1(7x + 2) + 5 20 + -9x = (24 + -8x) + -1(7x + 2) + 5 Reorder the terms: 20 + -9x = 24 + -8x + -1(2 + 7x) + 5 20 + -9x = 24 + -8x + (2 * -1 + 7x * -1) + 5 20 + -9x = 24 + -8x + (-2 + -7x) + 5 Reorder the terms: 20 + -9x = 24 + -2 + 5 + -8x + -7x Combine like terms: 24 + -2 = 22 20 + -9x = 22 + 5 + -8x + -7x Combine like terms: 22 + 5 = 27 20 + -9x = 27 + -8x + -7x Combine like terms: -8x + -7x = -15x 20 + -9x = 27 + -15x Solving 20 + -9x = 27 + -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. 20 + -9x + 15x = 27 + -15x + 15x Combine like terms: -9x + 15x = 6x 20 + 6x = 27 + -15x + 15x Combine like terms: -15x + 15x = 0 20 + 6x = 27 + 0 20 + 6x = 27 Add '-20' to each side of the equation. 20 + -20 + 6x = 27 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 27 + -20 6x = 27 + -20 Combine like terms: 27 + -20 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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