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