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Simplifying ln(1 + -2x) + ln(1 + 2x) = 2ln(2) + -2ln(5) (1 * ln + -2x * ln) + ln(1 + 2x) = 2ln(2) + -2ln(5) (1ln + -2lnx) + ln(1 + 2x) = 2ln(2) + -2ln(5) 1ln + -2lnx + (1 * ln + 2x * ln) = 2ln(2) + -2ln(5) 1ln + -2lnx + (1ln + 2lnx) = 2ln(2) + -2ln(5) Reorder the terms: 1ln + 1ln + -2lnx + 2lnx = 2ln(2) + -2ln(5) Combine like terms: 1ln + 1ln = 2ln 2ln + -2lnx + 2lnx = 2ln(2) + -2ln(5) Combine like terms: -2lnx + 2lnx = 0 2ln + 0 = 2ln(2) + -2ln(5) 2ln = 2ln(2) + -2ln(5) Reorder the terms for easier multiplication: 2ln = 2 * 2ln + -2ln(5) Multiply 2 * 2 2ln = 4ln + -2ln(5) Reorder the terms for easier multiplication: 2ln = 4ln + -2 * 5ln Multiply -2 * 5 2ln = 4ln + -10ln Combine like terms: 4ln + -10ln = -6ln 2ln = -6ln Solving 2ln = -6ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '6ln' to each side of the equation. 2ln + 6ln = -6ln + 6ln Combine like terms: 2ln + 6ln = 8ln 8ln = -6ln + 6ln Combine like terms: -6ln + 6ln = 0 8ln = 0 Divide each side by '8'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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