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Simplifying 31z + -1x + 30y = 100 Reorder the terms: -1x + 30y + 31z = 100 Solving -1x + 30y + 31z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30y' to each side of the equation. -1x + 30y + -30y + 31z = 100 + -30y Combine like terms: 30y + -30y = 0 -1x + 0 + 31z = 100 + -30y -1x + 31z = 100 + -30y Add '-31z' to each side of the equation. -1x + 31z + -31z = 100 + -30y + -31z Combine like terms: 31z + -31z = 0 -1x + 0 = 100 + -30y + -31z -1x = 100 + -30y + -31z Divide each side by '-1'. x = -100 + 30y + 31z Simplifying x = -100 + 30y + 31z
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