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