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