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