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