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Simplifying 10x + 0.5y + 0.25z = 100 Solving 10x + 0.5y + 0.25z = 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. 10x + 0.5y + -0.5y + 0.25z = 100 + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 10x + 0.0 + 0.25z = 100 + -0.5y 10x + 0.25z = 100 + -0.5y Add '-0.25z' to each side of the equation. 10x + 0.25z + -0.25z = 100 + -0.5y + -0.25z Combine like terms: 0.25z + -0.25z = 0.00 10x + 0.00 = 100 + -0.5y + -0.25z 10x = 100 + -0.5y + -0.25z Divide each side by '10'. x = 10 + -0.05y + -0.025z Simplifying x = 10 + -0.05y + -0.025z
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