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