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Simplifying x + 5y + -1z = 0 Solving x + 5y + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x + 5y + -5y + -1z = 0 + -5y Combine like terms: 5y + -5y = 0 x + 0 + -1z = 0 + -5y x + -1z = 0 + -5y Remove the zero: x + -1z = -5y Add 'z' to each side of the equation. x + -1z + z = -5y + z Combine like terms: -1z + z = 0 x + 0 = -5y + z x = -5y + z Simplifying x = -5y + z
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