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