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Simplifying 0.10x + 0.5y + 0.25z = 51 Solving 0.10x + 0.5y + 0.25z = 51 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. 0.10x + 0.5y + -0.5y + 0.25z = 51 + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 0.10x + 0.0 + 0.25z = 51 + -0.5y 0.10x + 0.25z = 51 + -0.5y Add '-0.25z' to each side of the equation. 0.10x + 0.25z + -0.25z = 51 + -0.5y + -0.25z Combine like terms: 0.25z + -0.25z = 0.00 0.10x + 0.00 = 51 + -0.5y + -0.25z 0.10x = 51 + -0.5y + -0.25z Divide each side by '0.10'. x = 510 + -5y + -2.5z Simplifying x = 510 + -5y + -2.5z
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