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