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Simplifying 2 + -1[3 + -1(5 + -1x)] = 3x + -1(8 + x) 2 + -1[3 + (5 * -1 + -1x * -1)] = 3x + -1(8 + x) 2 + -1[3 + (-5 + 1x)] = 3x + -1(8 + x) Combine like terms: 3 + -5 = -2 2 + -1[-2 + 1x] = 3x + -1(8 + x) 2 + [-2 * -1 + 1x * -1] = 3x + -1(8 + x) 2 + [2 + -1x] = 3x + -1(8 + x) Combine like terms: 2 + 2 = 4 4 + -1x = 3x + -1(8 + x) 4 + -1x = 3x + (8 * -1 + x * -1) 4 + -1x = 3x + (-8 + -1x) Reorder the terms: 4 + -1x = -8 + 3x + -1x Combine like terms: 3x + -1x = 2x 4 + -1x = -8 + 2x Solving 4 + -1x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -1x + -2x = -8 + 2x + -2x Combine like terms: -1x + -2x = -3x 4 + -3x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -3x = -8 + 0 4 + -3x = -8 Add '-4' to each side of the equation. 4 + -4 + -3x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -8 + -4 -3x = -8 + -4 Combine like terms: -8 + -4 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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