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Simplifying 0.5x + 5y + 10z = 100 Solving 0.5x + 5y + 10z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 0.5x + 5y + -5y + 10z = 100 + -5y Combine like terms: 5y + -5y = 0 0.5x + 0 + 10z = 100 + -5y 0.5x + 10z = 100 + -5y Add '-10z' to each side of the equation. 0.5x + 10z + -10z = 100 + -5y + -10z Combine like terms: 10z + -10z = 0 0.5x + 0 = 100 + -5y + -10z 0.5x = 100 + -5y + -10z Divide each side by '0.5'. x = 200 + -10y + -20z Simplifying x = 200 + -10y + -20z
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