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Simplifying ln(x + -1) = 7 + -2ln(x + -1) Reorder the terms: ln(-1 + x) = 7 + -2ln(x + -1) (-1 * ln + x * ln) = 7 + -2ln(x + -1) (-1ln + lnx) = 7 + -2ln(x + -1) Reorder the terms: -1ln + lnx = 7 + -2ln(-1 + x) -1ln + lnx = 7 + (-1 * -2ln + x * -2ln) -1ln + lnx = 7 + (2ln + -2lnx) Solving -1ln + lnx = 7 + 2ln + -2lnx 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 = 7 + 2ln + -2ln + -2lnx Combine like terms: -1ln + -2ln = -3ln -3ln + lnx = 7 + 2ln + -2ln + -2lnx Combine like terms: 2ln + -2ln = 0 -3ln + lnx = 7 + 0 + -2lnx -3ln + lnx = 7 + -2lnx Add '2lnx' to each side of the equation. -3ln + lnx + 2lnx = 7 + -2lnx + 2lnx Combine like terms: lnx + 2lnx = 3lnx -3ln + 3lnx = 7 + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 -3ln + 3lnx = 7 + 0 -3ln + 3lnx = 7 Reorder the terms: -7 + -3ln + 3lnx = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + -3ln + 3lnx = 0 The solution to this equation could not be determined.
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