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