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Simplifying 100x + 5y + z + -2000 = 0 Reorder the terms: -2000 + 100x + 5y + z = 0 Solving -2000 + 100x + 5y + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2000' to each side of the equation. -2000 + 100x + 5y + 2000 + z = 0 + 2000 Reorder the terms: -2000 + 2000 + 100x + 5y + z = 0 + 2000 Combine like terms: -2000 + 2000 = 0 0 + 100x + 5y + z = 0 + 2000 100x + 5y + z = 0 + 2000 Combine like terms: 0 + 2000 = 2000 100x + 5y + z = 2000 Add '-5y' to each side of the equation. 100x + 5y + -5y + z = 2000 + -5y Combine like terms: 5y + -5y = 0 100x + 0 + z = 2000 + -5y 100x + z = 2000 + -5y Add '-1z' to each side of the equation. 100x + z + -1z = 2000 + -5y + -1z Combine like terms: z + -1z = 0 100x + 0 = 2000 + -5y + -1z 100x = 2000 + -5y + -1z Divide each side by '100'. x = 20 + -0.05y + -0.01z Simplifying x = 20 + -0.05y + -0.01z
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