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Simplifying x + 5lnx = 32 Reorder the terms: 5lnx + x = 32 Solving 5lnx + x = 32 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1x' to each side of the equation. 5lnx + x + -1x = 32 + -1x Combine like terms: x + -1x = 0 5lnx + 0 = 32 + -1x 5lnx = 32 + -1x Divide each side by '5nx'. l = 6.4n-1x-1 + -0.2n-1 Simplifying l = 6.4n-1x-1 + -0.2n-1 Reorder the terms: l = -0.2n-1 + 6.4n-1x-1
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