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Simplifying 3(X + y + 2z) = 0 (X * 3 + y * 3 + 2z * 3) = 0 (3X + 3y + 6z) = 0 Solving 3X + 3y + 6z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3y' to each side of the equation. 3X + 3y + -3y + 6z = 0 + -3y Combine like terms: 3y + -3y = 0 3X + 0 + 6z = 0 + -3y 3X + 6z = 0 + -3y Remove the zero: 3X + 6z = -3y Add '-6z' to each side of the equation. 3X + 6z + -6z = -3y + -6z Combine like terms: 6z + -6z = 0 3X + 0 = -3y + -6z 3X = -3y + -6z Divide each side by '3'. X = -1y + -2z Simplifying X = -1y + -2z
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