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Simplifying 3x + ax + -1bx = 0 Reorder the terms: ax + -1bx + 3x = 0 Solving ax + -1bx + 3x = 0 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 + 3x = 0 + bx Combine like terms: -1bx + bx = 0 ax + 0 + 3x = 0 + bx ax + 3x = 0 + bx Remove the zero: ax + 3x = bx Add '-3x' to each side of the equation. ax + 3x + -3x = bx + -3x Combine like terms: 3x + -3x = 0 ax + 0 = bx + -3x ax = bx + -3x Divide each side by 'x'. a = b + -3 Simplifying a = b + -3 Reorder the terms: a = -3 + b
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