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Simplifying ln(2x) + -2x + 1 = 0 Remove parenthesis around (2x) ln * 2x + -2x + 1 = 0 Reorder the terms for easier multiplication: 2ln * x + -2x + 1 = 0 Multiply ln * x 2lnx + -2x + 1 = 0 Reorder the terms: 1 + 2lnx + -2x = 0 Solving 1 + 2lnx + -2x = 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 + -2x = 0 + -1 Reorder the terms: 1 + -1 + 2lnx + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2lnx + -2x = 0 + -1 2lnx + -2x = 0 + -1 Combine like terms: 0 + -1 = -1 2lnx + -2x = -1 Add '2x' to each side of the equation. 2lnx + -2x + 2x = -1 + 2x Combine like terms: -2x + 2x = 0 2lnx + 0 = -1 + 2x 2lnx = -1 + 2x Divide each side by '2nx'. l = -0.5n-1x-1 + n-1 Simplifying l = -0.5n-1x-1 + n-1 Reorder the terms: l = n-1 + -0.5n-1x-1
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