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Simplifying 1 + ln(3x + -1) = ln(2x + 1) Reorder the terms: 1 + ln(-1 + 3x) = ln(2x + 1) 1 + (-1 * ln + 3x * ln) = ln(2x + 1) 1 + (-1ln + 3lnx) = ln(2x + 1) Reorder the terms: 1 + -1ln + 3lnx = ln(1 + 2x) 1 + -1ln + 3lnx = (1 * ln + 2x * ln) 1 + -1ln + 3lnx = (1ln + 2lnx) Solving 1 + -1ln + 3lnx = 1ln + 2lnx 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. 1 + -1ln + -1ln + 3lnx = 1ln + -1ln + 2lnx Combine like terms: -1ln + -1ln = -2ln 1 + -2ln + 3lnx = 1ln + -1ln + 2lnx Combine like terms: 1ln + -1ln = 0 1 + -2ln + 3lnx = 0 + 2lnx 1 + -2ln + 3lnx = 2lnx Add '-2lnx' to each side of the equation. 1 + -2ln + 3lnx + -2lnx = 2lnx + -2lnx Combine like terms: 3lnx + -2lnx = 1lnx 1 + -2ln + 1lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 1 + -2ln + 1lnx = 0 Add '-1' to each side of the equation. 1 + -2ln + -1 + 1lnx = 0 + -1 Reorder the terms: 1 + -1 + -2ln + 1lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2ln + 1lnx = 0 + -1 -2ln + 1lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -2ln + 1lnx = -1 Reorder the terms: 1 + -2ln + 1lnx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -2ln + 1lnx = 0 The solution to this equation could not be determined.
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