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Simplifying 10 = 5x + -1lnx Reorder the terms: 10 = -1lnx + 5x Solving 10 = -1lnx + 5x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'lnx' to each side of the equation. 10 + lnx = -1lnx + lnx + 5x Combine like terms: -1lnx + lnx = 0 10 + lnx = 0 + 5x 10 + lnx = 5x Add '-10' to each side of the equation. 10 + -10 + lnx = -10 + 5x Combine like terms: 10 + -10 = 0 0 + lnx = -10 + 5x lnx = -10 + 5x Divide each side by 'nx'. l = -10n-1x-1 + 5n-1 Simplifying l = -10n-1x-1 + 5n-1 Reorder the terms: l = 5n-1 + -10n-1x-1
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