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