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Simplifying 18 + -1[2x + -3(x + -6) + -5(2x + -1)] = 2(4x + -5) Reorder the terms: 18 + -1[2x + -3(-6 + x) + -5(2x + -1)] = 2(4x + -5) 18 + -1[2x + (-6 * -3 + x * -3) + -5(2x + -1)] = 2(4x + -5) 18 + -1[2x + (18 + -3x) + -5(2x + -1)] = 2(4x + -5) Reorder the terms: 18 + -1[2x + 18 + -3x + -5(-1 + 2x)] = 2(4x + -5) 18 + -1[2x + 18 + -3x + (-1 * -5 + 2x * -5)] = 2(4x + -5) 18 + -1[2x + 18 + -3x + (5 + -10x)] = 2(4x + -5) Reorder the terms: 18 + -1[18 + 5 + 2x + -3x + -10x] = 2(4x + -5) Combine like terms: 18 + 5 = 23 18 + -1[23 + 2x + -3x + -10x] = 2(4x + -5) Combine like terms: 2x + -3x = -1x 18 + -1[23 + -1x + -10x] = 2(4x + -5) Combine like terms: -1x + -10x = -11x 18 + -1[23 + -11x] = 2(4x + -5) 18 + [23 * -1 + -11x * -1] = 2(4x + -5) 18 + [-23 + 11x] = 2(4x + -5) Combine like terms: 18 + -23 = -5 -5 + 11x = 2(4x + -5) Reorder the terms: -5 + 11x = 2(-5 + 4x) -5 + 11x = (-5 * 2 + 4x * 2) -5 + 11x = (-10 + 8x) Solving -5 + 11x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 11x + -8x = -10 + 8x + -8x Combine like terms: 11x + -8x = 3x -5 + 3x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 3x = -10 + 0 -5 + 3x = -10 Add '5' to each side of the equation. -5 + 5 + 3x = -10 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -10 + 5 3x = -10 + 5 Combine like terms: -10 + 5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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