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Simplifying x + 2y + -1z = 0 Solving x + 2y + -1z = 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. x + 2y + -2y + -1z = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 + -1z = 0 + -2y x + -1z = 0 + -2y Remove the zero: x + -1z = -2y Add 'z' to each side of the equation. x + -1z + z = -2y + z Combine like terms: -1z + z = 0 x + 0 = -2y + z x = -2y + z Simplifying x = -2y + z
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