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Simplifying 100 + -10x + 10ln(x) = 0 Multiply ln * x 100 + -10x + 10lnx = 0 Reorder the terms: 100 + 10lnx + -10x = 0 Solving 100 + 10lnx + -10x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + 10lnx + -100 + -10x = 0 + -100 Reorder the terms: 100 + -100 + 10lnx + -10x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 10lnx + -10x = 0 + -100 10lnx + -10x = 0 + -100 Combine like terms: 0 + -100 = -100 10lnx + -10x = -100 Add '10x' to each side of the equation. 10lnx + -10x + 10x = -100 + 10x Combine like terms: -10x + 10x = 0 10lnx + 0 = -100 + 10x 10lnx = -100 + 10x Divide each side by '10nx'. l = -10n-1x-1 + n-1 Simplifying l = -10n-1x-1 + n-1 Reorder the terms: l = n-1 + -10n-1x-1
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