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Simplifying 2x + -1(1 + -1(x + -1)) = 1 Reorder the terms: 2x + -1(1 + -1(-1 + x)) = 1 2x + -1(1 + (-1 * -1 + x * -1)) = 1 2x + -1(1 + (1 + -1x)) = 1 Combine like terms: 1 + 1 = 2 2x + -1(2 + -1x) = 1 2x + (2 * -1 + -1x * -1) = 1 2x + (-2 + 1x) = 1 Reorder the terms: -2 + 2x + 1x = 1 Combine like terms: 2x + 1x = 3x -2 + 3x = 1 Solving -2 + 3x = 1 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 + 3x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 1 + 2 3x = 1 + 2 Combine like terms: 1 + 2 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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