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