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Simplifying xa + -1b = xc + d Solving ax + -1b = cx + d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. ax + -1b + b = cx + b + d Combine like terms: -1b + b = 0 ax + 0 = cx + b + d ax = cx + b + d Reorder the terms: ax = b + cx + d Divide each side by 'x'. a = bx-1 + c + dx-1 Simplifying a = bx-1 + c + dx-1
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