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Simplifying ax + -1c = c(x + -1d) Reorder the terms: ax + -1c = c(-1d + x) ax + -1c = (-1d * c + x * c) ax + -1c = (-1cd + cx) Solving ax + -1c = -1cd + cx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'c' to each side of the equation. ax + -1c + c = -1cd + c + cx Combine like terms: -1c + c = 0 ax + 0 = -1cd + c + cx ax = -1cd + c + cx Reorder the terms: ax = c + -1cd + cx Divide each side by 'x'. a = cx-1 + -1cdx-1 + c Simplifying a = cx-1 + -1cdx-1 + c Reorder the terms: a = c + -1cdx-1 + cx-1
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