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Simplifying 1 + -1ln(x + -2) = ln(3x + 1) Reorder the terms: 1 + -1ln(-2 + x) = ln(3x + 1) 1 + (-2 * -1ln + x * -1ln) = ln(3x + 1) 1 + (2ln + -1lnx) = ln(3x + 1) Reorder the terms: 1 + 2ln + -1lnx = ln(1 + 3x) 1 + 2ln + -1lnx = (1 * ln + 3x * ln) 1 + 2ln + -1lnx = (1ln + 3lnx) Solving 1 + 2ln + -1lnx = 1ln + 3lnx 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 + 2ln + -1ln + -1lnx = 1ln + -1ln + 3lnx Combine like terms: 2ln + -1ln = 1ln 1 + 1ln + -1lnx = 1ln + -1ln + 3lnx Combine like terms: 1ln + -1ln = 0 1 + 1ln + -1lnx = 0 + 3lnx 1 + 1ln + -1lnx = 3lnx Add '-3lnx' to each side of the equation. 1 + 1ln + -1lnx + -3lnx = 3lnx + -3lnx Combine like terms: -1lnx + -3lnx = -4lnx 1 + 1ln + -4lnx = 3lnx + -3lnx Combine like terms: 3lnx + -3lnx = 0 1 + 1ln + -4lnx = 0 Add '-1' to each side of the equation. 1 + 1ln + -1 + -4lnx = 0 + -1 Reorder the terms: 1 + -1 + 1ln + -4lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1ln + -4lnx = 0 + -1 1ln + -4lnx = 0 + -1 Combine like terms: 0 + -1 = -1 1ln + -4lnx = -1 Reorder the terms: 1 + 1ln + -4lnx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 1ln + -4lnx = 0 The solution to this equation could not be determined.
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