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Simplifying x + a(2a + -1ax) = 1 + a2 x + (2a * a + -1ax * a) = 1 + a2 x + (2a2 + -1a2x) = 1 + a2 Reorder the terms: 2a2 + -1a2x + x = 1 + a2 Solving 2a2 + -1a2x + x = 1 + a2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a2' to each side of the equation. 2a2 + -1a2x + -1a2 + x = 1 + a2 + -1a2 Reorder the terms: 2a2 + -1a2 + -1a2x + x = 1 + a2 + -1a2 Combine like terms: 2a2 + -1a2 = 1a2 1a2 + -1a2x + x = 1 + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 1a2 + -1a2x + x = 1 + 0 1a2 + -1a2x + x = 1 Add '-1x' to each side of the equation. 1a2 + -1a2x + x + -1x = 1 + -1x Combine like terms: x + -1x = 0 1a2 + -1a2x + 0 = 1 + -1x 1a2 + -1a2x = 1 + -1x Reorder the terms: -1 + 1a2 + -1a2x + x = 1 + -1x + -1 + x Reorder the terms: -1 + 1a2 + -1a2x + x = 1 + -1 + -1x + x Combine like terms: 1 + -1 = 0 -1 + 1a2 + -1a2x + x = 0 + -1x + x -1 + 1a2 + -1a2x + x = -1x + x Combine like terms: -1x + x = 0 -1 + 1a2 + -1a2x + x = 0 The solution to this equation could not be determined.
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