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Simplifying 3x + 1.5y + 0.5z = 100 Solving 3x + 1.5y + 0.5z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5y' to each side of the equation. 3x + 1.5y + -1.5y + 0.5z = 100 + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 3x + 0.0 + 0.5z = 100 + -1.5y 3x + 0.5z = 100 + -1.5y Add '-0.5z' to each side of the equation. 3x + 0.5z + -0.5z = 100 + -1.5y + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 3x + 0.0 = 100 + -1.5y + -0.5z 3x = 100 + -1.5y + -0.5z Divide each side by '3'. x = 33.33333333 + -0.5y + -0.1666666667z Simplifying x = 33.33333333 + -0.5y + -0.1666666667z
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