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Simplifying 0.5(y + x) = 5z Reorder the terms: 0.5(x + y) = 5z (x * 0.5 + y * 0.5) = 5z (0.5x + 0.5y) = 5z Solving 0.5x + 0.5y = 5z 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. 0.5x + 0.5y + -0.5y = -0.5y + 5z Combine like terms: 0.5y + -0.5y = 0.0 0.5x + 0.0 = -0.5y + 5z 0.5x = -0.5y + 5z Divide each side by '0.5'. x = -1y + 10z Simplifying x = -1y + 10z
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