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Simplifying 4x + y + 3z = 0 Solving 4x + y + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 4x + y + -1y + 3z = 0 + -1y Combine like terms: y + -1y = 0 4x + 0 + 3z = 0 + -1y 4x + 3z = 0 + -1y Remove the zero: 4x + 3z = -1y Add '-3z' to each side of the equation. 4x + 3z + -3z = -1y + -3z Combine like terms: 3z + -3z = 0 4x + 0 = -1y + -3z 4x = -1y + -3z Divide each side by '4'. x = -0.25y + -0.75z Simplifying x = -0.25y + -0.75z
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