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Simplifying ax + -1bx = 12 Solving ax + -1bx = 12 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 = 12 + bx Combine like terms: -1bx + bx = 0 ax + 0 = 12 + bx ax = 12 + bx Divide each side by 'x'. a = 12x^{-1}+ b Simplifying a = 12x^{-1}+ b Reorder the terms: a = b + 12x^{-1}

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