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Simplifying 0.5(x + -1ln(x)) = 0 Multiply ln * x 0.5(x + -1lnx) = 0 Reorder the terms: 0.5(-1lnx + x) = 0 (-1lnx * 0.5 + x * 0.5) = 0 (-0.5lnx + 0.5x) = 0 Solving -0.5lnx + 0.5x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -0.5lnx + 0.5x + -0.5x = 0 + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.5lnx + 0.0 = 0 + -0.5x -0.5lnx = 0 + -0.5x Remove the zero: -0.5lnx = -0.5x Divide each side by '-0.5nx'. l = n-1 Simplifying l = n-1
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