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