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