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Simplifying 3x + 10y + 0.5z = 100 Solving 3x + 10y + 0.5z = 100 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. 3x + 10y + -10y + 0.5z = 100 + -10y Combine like terms: 10y + -10y = 0 3x + 0 + 0.5z = 100 + -10y 3x + 0.5z = 100 + -10y Add '-0.5z' to each side of the equation. 3x + 0.5z + -0.5z = 100 + -10y + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 3x + 0.0 = 100 + -10y + -0.5z 3x = 100 + -10y + -0.5z Divide each side by '3'. x = 33.33333333 + -3.333333333y + -0.1666666667z Simplifying x = 33.33333333 + -3.333333333y + -0.1666666667z
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