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Simplifying (1 + -1a) * x = a + -1 Reorder the terms for easier multiplication: x(1 + -1a) = a + -1 (1 * x + -1a * x) = a + -1 Reorder the terms: (-1ax + 1x) = a + -1 (-1ax + 1x) = a + -1 Reorder the terms: -1ax + 1x = -1 + a Solving -1ax + 1x = -1 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -1ax + -1a + 1x = -1 + a + -1a Reorder the terms: -1a + -1ax + 1x = -1 + a + -1a Combine like terms: a + -1a = 0 -1a + -1ax + 1x = -1 + 0 -1a + -1ax + 1x = -1 Add '-1x' to each side of the equation. -1a + -1ax + 1x + -1x = -1 + -1x Combine like terms: 1x + -1x = 0 -1a + -1ax + 0 = -1 + -1x -1a + -1ax = -1 + -1x Reorder the terms: 1 + -1a + -1ax + x = -1 + -1x + 1 + x Reorder the terms: 1 + -1a + -1ax + x = -1 + 1 + -1x + x Combine like terms: -1 + 1 = 0 1 + -1a + -1ax + x = 0 + -1x + x 1 + -1a + -1ax + x = -1x + x Combine like terms: -1x + x = 0 1 + -1a + -1ax + x = 0 The solution to this equation could not be determined.
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