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Simplifying 2x + (a + -1) = (a + 1) * x Reorder the terms: 2x + (-1 + a) = (a + 1) * x Remove parenthesis around (-1 + a) 2x + -1 + a = (a + 1) * x Reorder the terms: -1 + a + 2x = (a + 1) * x Reorder the terms: -1 + a + 2x = (1 + a) * x Reorder the terms for easier multiplication: -1 + a + 2x = x(1 + a) -1 + a + 2x = (1 * x + a * x) Reorder the terms: -1 + a + 2x = (ax + 1x) -1 + a + 2x = (ax + 1x) Solving -1 + a + 2x = ax + 1x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1ax' to each side of the equation. -1 + a + -1ax + 2x = ax + -1ax + 1x Combine like terms: ax + -1ax = 0 -1 + a + -1ax + 2x = 0 + 1x -1 + a + -1ax + 2x = 1x Add '1' to each side of the equation. -1 + a + -1ax + 1 + 2x = 1 + 1x Reorder the terms: -1 + 1 + a + -1ax + 2x = 1 + 1x Combine like terms: -1 + 1 = 0 0 + a + -1ax + 2x = 1 + 1x a + -1ax + 2x = 1 + 1x Add '-2x' to each side of the equation. a + -1ax + 2x + -2x = 1 + 1x + -2x Combine like terms: 2x + -2x = 0 a + -1ax + 0 = 1 + 1x + -2x a + -1ax = 1 + 1x + -2x Combine like terms: 1x + -2x = -1x a + -1ax = 1 + -1x Reorder the terms: -1 + a + -1ax + x = 1 + -1x + -1 + x Reorder the terms: -1 + a + -1ax + x = 1 + -1 + -1x + x Combine like terms: 1 + -1 = 0 -1 + a + -1ax + x = 0 + -1x + x -1 + a + -1ax + x = -1x + x Combine like terms: -1x + x = 0 -1 + a + -1ax + x = 0 The solution to this equation could not be determined.
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