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