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Simplifying x + -1[3x + -1(2x + -1)] + 5 = 2 + [3 + -1(2 + -3x)] Reorder the terms: x + -1[3x + -1(-1 + 2x)] + 5 = 2 + [3 + -1(2 + -3x)] x + -1[3x + (-1 * -1 + 2x * -1)] + 5 = 2 + [3 + -1(2 + -3x)] x + -1[3x + (1 + -2x)] + 5 = 2 + [3 + -1(2 + -3x)] Reorder the terms: x + -1[1 + 3x + -2x] + 5 = 2 + [3 + -1(2 + -3x)] Combine like terms: 3x + -2x = 1x x + -1[1 + 1x] + 5 = 2 + [3 + -1(2 + -3x)] x + [1 * -1 + 1x * -1] + 5 = 2 + [3 + -1(2 + -3x)] x + [-1 + -1x] + 5 = 2 + [3 + -1(2 + -3x)] Reorder the terms: -1 + 5 + x + -1x = 2 + [3 + -1(2 + -3x)] Combine like terms: -1 + 5 = 4 4 + x + -1x = 2 + [3 + -1(2 + -3x)] Combine like terms: x + -1x = 0 4 + 0 = 2 + [3 + -1(2 + -3x)] 4 = 2 + [3 + -1(2 + -3x)] 4 = 2 + [3 + (2 * -1 + -3x * -1)] 4 = 2 + [3 + (-2 + 3x)] Combine like terms: 3 + -2 = 1 4 = 2 + [1 + 3x] Remove brackets around [1 + 3x] 4 = 2 + 1 + 3x Combine like terms: 2 + 1 = 3 4 = 3 + 3x Solving 4 = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -3x = 3 + 0 4 + -3x = 3 Add '-4' to each side of the equation. 4 + -4 + -3x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 3 + -4 -3x = 3 + -4 Combine like terms: 3 + -4 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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