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Simplifying -1(2x + -9) + -1(8x + -4) + 5 = -8(x + -6) + -1(6x + 5) + 6 Reorder the terms: -1(-9 + 2x) + -1(8x + -4) + 5 = -8(x + -6) + -1(6x + 5) + 6 (-9 * -1 + 2x * -1) + -1(8x + -4) + 5 = -8(x + -6) + -1(6x + 5) + 6 (9 + -2x) + -1(8x + -4) + 5 = -8(x + -6) + -1(6x + 5) + 6 Reorder the terms: 9 + -2x + -1(-4 + 8x) + 5 = -8(x + -6) + -1(6x + 5) + 6 9 + -2x + (-4 * -1 + 8x * -1) + 5 = -8(x + -6) + -1(6x + 5) + 6 9 + -2x + (4 + -8x) + 5 = -8(x + -6) + -1(6x + 5) + 6 Reorder the terms: 9 + 4 + 5 + -2x + -8x = -8(x + -6) + -1(6x + 5) + 6 Combine like terms: 9 + 4 = 13 13 + 5 + -2x + -8x = -8(x + -6) + -1(6x + 5) + 6 Combine like terms: 13 + 5 = 18 18 + -2x + -8x = -8(x + -6) + -1(6x + 5) + 6 Combine like terms: -2x + -8x = -10x 18 + -10x = -8(x + -6) + -1(6x + 5) + 6 Reorder the terms: 18 + -10x = -8(-6 + x) + -1(6x + 5) + 6 18 + -10x = (-6 * -8 + x * -8) + -1(6x + 5) + 6 18 + -10x = (48 + -8x) + -1(6x + 5) + 6 Reorder the terms: 18 + -10x = 48 + -8x + -1(5 + 6x) + 6 18 + -10x = 48 + -8x + (5 * -1 + 6x * -1) + 6 18 + -10x = 48 + -8x + (-5 + -6x) + 6 Reorder the terms: 18 + -10x = 48 + -5 + 6 + -8x + -6x Combine like terms: 48 + -5 = 43 18 + -10x = 43 + 6 + -8x + -6x Combine like terms: 43 + 6 = 49 18 + -10x = 49 + -8x + -6x Combine like terms: -8x + -6x = -14x 18 + -10x = 49 + -14x Solving 18 + -10x = 49 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 18 + -10x + 14x = 49 + -14x + 14x Combine like terms: -10x + 14x = 4x 18 + 4x = 49 + -14x + 14x Combine like terms: -14x + 14x = 0 18 + 4x = 49 + 0 18 + 4x = 49 Add '-18' to each side of the equation. 18 + -18 + 4x = 49 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 49 + -18 4x = 49 + -18 Combine like terms: 49 + -18 = 31 4x = 31 Divide each side by '4'. x = 7.75 Simplifying x = 7.75
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