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