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Simplifying 0.5x + 3y + 10z = 100 Solving 0.5x + 3y + 10z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 0.5x + 3y + -3y + 10z = 100 + -3y Combine like terms: 3y + -3y = 0 0.5x + 0 + 10z = 100 + -3y 0.5x + 10z = 100 + -3y Add '-10z' to each side of the equation. 0.5x + 10z + -10z = 100 + -3y + -10z Combine like terms: 10z + -10z = 0 0.5x + 0 = 100 + -3y + -10z 0.5x = 100 + -3y + -10z Divide each side by '0.5'. x = 200 + -6y + -20z Simplifying x = 200 + -6y + -20z
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