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