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Simplifying 30x + 10y + 1z = 1000 Solving 30x + 10y + 1z = 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. 30x + 10y + -10y + 1z = 1000 + -10y Combine like terms: 10y + -10y = 0 30x + 0 + 1z = 1000 + -10y 30x + 1z = 1000 + -10y Add '-1z' to each side of the equation. 30x + 1z + -1z = 1000 + -10y + -1z Combine like terms: 1z + -1z = 0 30x + 0 = 1000 + -10y + -1z 30x = 1000 + -10y + -1z Divide each side by '30'. x = 33.33333333 + -0.3333333333y + -0.03333333333z Simplifying x = 33.33333333 + -0.3333333333y + -0.03333333333z
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