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Simplifying 200x + 10y + 2z = 1000 Solving 200x + 10y + 2z = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 200x + 10y + -10y + 2z = 1000 + -10y Combine like terms: 10y + -10y = 0 200x + 0 + 2z = 1000 + -10y 200x + 2z = 1000 + -10y Add '-2z' to each side of the equation. 200x + 2z + -2z = 1000 + -10y + -2z Combine like terms: 2z + -2z = 0 200x + 0 = 1000 + -10y + -2z 200x = 1000 + -10y + -2z Divide each side by '200'. x = 5 + -0.05y + -0.01z Simplifying x = 5 + -0.05y + -0.01z
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