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Simplifying 6x + 3y + 0.5z = 100 Solving 6x + 3y + 0.5z = 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. 6x + 3y + -3y + 0.5z = 100 + -3y Combine like terms: 3y + -3y = 0 6x + 0 + 0.5z = 100 + -3y 6x + 0.5z = 100 + -3y Add '-0.5z' to each side of the equation. 6x + 0.5z + -0.5z = 100 + -3y + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 6x + 0.0 = 100 + -3y + -0.5z 6x = 100 + -3y + -0.5z Divide each side by '6'. x = 16.66666667 + -0.5y + -0.08333333333z Simplifying x = 16.66666667 + -0.5y + -0.08333333333z
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