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Simplifying 2ln(x + 1) = ln(2x + 1) Reorder the terms: 2ln(1 + x) = ln(2x + 1) (1 * 2ln + x * 2ln) = ln(2x + 1) (2ln + 2lnx) = ln(2x + 1) Reorder the terms: 2ln + 2lnx = ln(1 + 2x) 2ln + 2lnx = (1 * ln + 2x * ln) 2ln + 2lnx = (1ln + 2lnx) Add '-2lnx' to each side of the equation. 2ln + 2lnx + -2lnx = 1ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 2ln + 0 = 1ln + 2lnx + -2lnx 2ln = 1ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 2ln = 1ln + 0 2ln = 1ln Solving 2ln = 1ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln' to each side of the equation. 2ln + -1ln = 1ln + -1ln Combine like terms: 2ln + -1ln = 1ln 1ln = 1ln + -1ln Combine like terms: 1ln + -1ln = 0 1ln = 0 Divide each side by '1'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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