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