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Simplifying 4x + 2y + 3z = 0 Solving 4x + 2y + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 4x + 2y + -2y + 3z = 0 + -2y Combine like terms: 2y + -2y = 0 4x + 0 + 3z = 0 + -2y 4x + 3z = 0 + -2y Remove the zero: 4x + 3z = -2y Add '-3z' to each side of the equation. 4x + 3z + -3z = -2y + -3z Combine like terms: 3z + -3z = 0 4x + 0 = -2y + -3z 4x = -2y + -3z Divide each side by '4'. x = -0.5y + -0.75z Simplifying x = -0.5y + -0.75z
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