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