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Simplifying X(a + b + c) = 0 (a * X + b * X + c * X) = 0 (aX + bX + cX) = 0 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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