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Simplifying ax + -1c = c(x + -1d) * forx Reorder the terms: ax + -1c = c(-1d + x) * forx Reorder the terms for easier multiplication: ax + -1c = c * forx(-1d + x) Multiply c * forx ax + -1c = cforx(-1d + x) ax + -1c = (-1d * cforx + x * cforx) ax + -1c = (-1cdforx + cforx2) Solving ax + -1c = -1cdforx + cforx2 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 = -1cdforx + c + cforx2 Combine like terms: -1c + c = 0 ax + 0 = -1cdforx + c + cforx2 ax = -1cdforx + c + cforx2 Reorder the terms: ax = c + -1cdforx + cforx2 Divide each side by 'x'. a = cx-1 + -1cdfor + cforx Simplifying a = cx-1 + -1cdfor + cforx Reorder the terms: a = -1cdfor + cforx + cx-1
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