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Simplifying ax + -1bx + y = x Solving ax + -1bx + y = x 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 + y = bx + x Combine like terms: -1bx + bx = 0 ax + 0 + y = bx + x ax + y = bx + x Add '-1y' to each side of the equation. ax + y + -1y = bx + x + -1y Combine like terms: y + -1y = 0 ax + 0 = bx + x + -1y ax = bx + x + -1y Divide each side by 'x'. a = b + 1 + -1x-1y Simplifying a = b + 1 + -1x-1y Reorder the terms: a = 1 + b + -1x-1y
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