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Simplifying a(x + 1) = a(a + 1) + -1x Reorder the terms: a(1 + x) = a(a + 1) + -1x (1 * a + x * a) = a(a + 1) + -1x (1a + ax) = a(a + 1) + -1x Reorder the terms: 1a + ax = a(1 + a) + -1x 1a + ax = (1 * a + a * a) + -1x 1a + ax = (1a + a2) + -1x Add '-1a' to each side of the equation. 1a + -1a + ax = 1a + a2 + -1a + -1x Combine like terms: 1a + -1a = 0 0 + ax = 1a + a2 + -1a + -1x ax = 1a + a2 + -1a + -1x Reorder the terms: ax = 1a + -1a + a2 + -1x Combine like terms: 1a + -1a = 0 ax = 0 + a2 + -1x ax = a2 + -1x Solving ax = a2 + -1x Solving for variable 'a'. Reorder the terms: ax + -1a2 + x = a2 + -1a2 + -1x + x Combine like terms: a2 + -1a2 = 0 ax + -1a2 + x = 0 + -1x + x ax + -1a2 + x = -1x + x Combine like terms: -1x + x = 0 ax + -1a2 + x = 0 The solution to this equation could not be determined.
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