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Simplifying ax + b = c(d + -1x) ax + b = (d * c + -1x * c) ax + b = (cd + -1cx) Solving ax + b = cd + -1cx 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 = cd + -1b + -1cx Combine like terms: b + -1b = 0 ax + 0 = cd + -1b + -1cx ax = cd + -1b + -1cx Reorder the terms: ax = -1b + cd + -1cx Divide each side by 'x'. a = -1bx-1 + cdx-1 + -1c Simplifying a = -1bx-1 + cdx-1 + -1c Reorder the terms: a = -1bx-1 + -1c + cdx-1
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