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Simplifying 3x + 0.5y + 10z = 100 Solving 3x + 0.5y + 10z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5y' to each side of the equation. 3x + 0.5y + -0.5y + 10z = 100 + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 3x + 0.0 + 10z = 100 + -0.5y 3x + 10z = 100 + -0.5y Add '-10z' to each side of the equation. 3x + 10z + -10z = 100 + -0.5y + -10z Combine like terms: 10z + -10z = 0 3x + 0 = 100 + -0.5y + -10z 3x = 100 + -0.5y + -10z Divide each side by '3'. x = 33.33333333 + -0.1666666667y + -3.333333333z Simplifying x = 33.33333333 + -0.1666666667y + -3.333333333z
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