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