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Simplifying -1(6x + -9) + -1(7x + -6) + 2 = -8(x + -5) + -1(9x + 3) + 6 Reorder the terms: -1(-9 + 6x) + -1(7x + -6) + 2 = -8(x + -5) + -1(9x + 3) + 6 (-9 * -1 + 6x * -1) + -1(7x + -6) + 2 = -8(x + -5) + -1(9x + 3) + 6 (9 + -6x) + -1(7x + -6) + 2 = -8(x + -5) + -1(9x + 3) + 6 Reorder the terms: 9 + -6x + -1(-6 + 7x) + 2 = -8(x + -5) + -1(9x + 3) + 6 9 + -6x + (-6 * -1 + 7x * -1) + 2 = -8(x + -5) + -1(9x + 3) + 6 9 + -6x + (6 + -7x) + 2 = -8(x + -5) + -1(9x + 3) + 6 Reorder the terms: 9 + 6 + 2 + -6x + -7x = -8(x + -5) + -1(9x + 3) + 6 Combine like terms: 9 + 6 = 15 15 + 2 + -6x + -7x = -8(x + -5) + -1(9x + 3) + 6 Combine like terms: 15 + 2 = 17 17 + -6x + -7x = -8(x + -5) + -1(9x + 3) + 6 Combine like terms: -6x + -7x = -13x 17 + -13x = -8(x + -5) + -1(9x + 3) + 6 Reorder the terms: 17 + -13x = -8(-5 + x) + -1(9x + 3) + 6 17 + -13x = (-5 * -8 + x * -8) + -1(9x + 3) + 6 17 + -13x = (40 + -8x) + -1(9x + 3) + 6 Reorder the terms: 17 + -13x = 40 + -8x + -1(3 + 9x) + 6 17 + -13x = 40 + -8x + (3 * -1 + 9x * -1) + 6 17 + -13x = 40 + -8x + (-3 + -9x) + 6 Reorder the terms: 17 + -13x = 40 + -3 + 6 + -8x + -9x Combine like terms: 40 + -3 = 37 17 + -13x = 37 + 6 + -8x + -9x Combine like terms: 37 + 6 = 43 17 + -13x = 43 + -8x + -9x Combine like terms: -8x + -9x = -17x 17 + -13x = 43 + -17x Solving 17 + -13x = 43 + -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. 17 + -13x + 17x = 43 + -17x + 17x Combine like terms: -13x + 17x = 4x 17 + 4x = 43 + -17x + 17x Combine like terms: -17x + 17x = 0 17 + 4x = 43 + 0 17 + 4x = 43 Add '-17' to each side of the equation. 17 + -17 + 4x = 43 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 43 + -17 4x = 43 + -17 Combine like terms: 43 + -17 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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