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Simplifying ax + bc = bdx + be Solving ax + bc = bdx + be Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bc' to each side of the equation. ax + bc + -1bc = bdx + -1bc + be Combine like terms: bc + -1bc = 0 ax + 0 = bdx + -1bc + be ax = bdx + -1bc + be Reorder the terms: ax = -1bc + bdx + be Divide each side by 'x'. a = -1bcx-1 + bd + bex-1 Simplifying a = -1bcx-1 + bd + bex-1
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