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Simplifying (2x + 3y + z)(2) = 0 Reorder the terms for easier multiplication: 2(2x + 3y + z) = 0 (2x * 2 + 3y * 2 + z * 2) = 0 (4x + 6y + 2z) = 0 Solving 4x + 6y + 2z = 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. 4x + 6y + -6y + 2z = 0 + -6y Combine like terms: 6y + -6y = 0 4x + 0 + 2z = 0 + -6y 4x + 2z = 0 + -6y Remove the zero: 4x + 2z = -6y Add '-2z' to each side of the equation. 4x + 2z + -2z = -6y + -2z Combine like terms: 2z + -2z = 0 4x + 0 = -6y + -2z 4x = -6y + -2z Divide each side by '4'. x = -1.5y + -0.5z Simplifying x = -1.5y + -0.5z
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