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