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Simplifying 5ln(x + 1) = 3 + 3ln(x + 1) Reorder the terms: 5ln(1 + x) = 3 + 3ln(x + 1) (1 * 5ln + x * 5ln) = 3 + 3ln(x + 1) (5ln + 5lnx) = 3 + 3ln(x + 1) Reorder the terms: 5ln + 5lnx = 3 + 3ln(1 + x) 5ln + 5lnx = 3 + (1 * 3ln + x * 3ln) 5ln + 5lnx = 3 + (3ln + 3lnx) Solving 5ln + 5lnx = 3 + 3ln + 3lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3ln' to each side of the equation. 5ln + -3ln + 5lnx = 3 + 3ln + -3ln + 3lnx Combine like terms: 5ln + -3ln = 2ln 2ln + 5lnx = 3 + 3ln + -3ln + 3lnx Combine like terms: 3ln + -3ln = 0 2ln + 5lnx = 3 + 0 + 3lnx 2ln + 5lnx = 3 + 3lnx Add '-3lnx' to each side of the equation. 2ln + 5lnx + -3lnx = 3 + 3lnx + -3lnx Combine like terms: 5lnx + -3lnx = 2lnx 2ln + 2lnx = 3 + 3lnx + -3lnx Combine like terms: 3lnx + -3lnx = 0 2ln + 2lnx = 3 + 0 2ln + 2lnx = 3 Reorder the terms: -3 + 2ln + 2lnx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 2ln + 2lnx = 0 The solution to this equation could not be determined.
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