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Simplifying 1 + 2(ln(x)) + -1x = 0 Multiply ln * x 1 + 2(lnx) + -1x = 0 Solving 1 + 2lnx + -1x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2lnx + -1 + -1x = 0 + -1 Reorder the terms: 1 + -1 + 2lnx + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2lnx + -1x = 0 + -1 2lnx + -1x = 0 + -1 Combine like terms: 0 + -1 = -1 2lnx + -1x = -1 Add 'x' to each side of the equation. 2lnx + -1x + x = -1 + x Combine like terms: -1x + x = 0 2lnx + 0 = -1 + x 2lnx = -1 + x Divide each side by '2nx'. l = -0.5n-1x-1 + 0.5n-1 Simplifying l = -0.5n-1x-1 + 0.5n-1 Reorder the terms: l = 0.5n-1 + -0.5n-1x-1
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