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Simplifying (lnx + 5) = ln(x + -1) + -1ln(x + 1) Reorder the terms: (5 + lnx) = ln(x + -1) + -1ln(x + 1) Remove parenthesis around (5 + lnx) 5 + lnx = ln(x + -1) + -1ln(x + 1) Reorder the terms: 5 + lnx = ln(-1 + x) + -1ln(x + 1) 5 + lnx = (-1 * ln + x * ln) + -1ln(x + 1) 5 + lnx = (-1ln + lnx) + -1ln(x + 1) Reorder the terms: 5 + lnx = -1ln + lnx + -1ln(1 + x) 5 + lnx = -1ln + lnx + (1 * -1ln + x * -1ln) 5 + lnx = -1ln + lnx + (-1ln + -1lnx) Reorder the terms: 5 + lnx = -1ln + -1ln + lnx + -1lnx Combine like terms: -1ln + -1ln = -2ln 5 + lnx = -2ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 5 + lnx = -2ln + 0 5 + lnx = -2ln Solving 5 + lnx = -2ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2ln' to each side of the equation. 5 + 2ln + lnx = -2ln + 2ln Combine like terms: -2ln + 2ln = 0 5 + 2ln + lnx = 0 Add '-5' to each side of the equation. 5 + 2ln + -5 + lnx = 0 + -5 Reorder the terms: 5 + -5 + 2ln + lnx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2ln + lnx = 0 + -5 2ln + lnx = 0 + -5 Combine like terms: 0 + -5 = -5 2ln + lnx = -5 Reorder the terms: 5 + 2ln + lnx = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 2ln + lnx = 0 The solution to this equation could not be determined.
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