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Simplifying x + y + 3z = 0 Solving x + 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. x + y + -1y + 3z = 0 + -1y Combine like terms: y + -1y = 0 x + 0 + 3z = 0 + -1y x + 3z = 0 + -1y Remove the zero: x + 3z = -1y Add '-3z' to each side of the equation. x + 3z + -3z = -1y + -3z Combine like terms: 3z + -3z = 0 x + 0 = -1y + -3z x = -1y + -3z Simplifying x = -1y + -3z
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