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Simplifying ln(x + 2) = 7 + -1ln(x + 2) Reorder the terms: ln(2 + x) = 7 + -1ln(x + 2) (2 * ln + x * ln) = 7 + -1ln(x + 2) (2ln + lnx) = 7 + -1ln(x + 2) Reorder the terms: 2ln + lnx = 7 + -1ln(2 + x) 2ln + lnx = 7 + (2 * -1ln + x * -1ln) 2ln + lnx = 7 + (-2ln + -1lnx) Solving 2ln + lnx = 7 + -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. 2ln + 2ln + lnx = 7 + -2ln + 2ln + -1lnx Combine like terms: 2ln + 2ln = 4ln 4ln + lnx = 7 + -2ln + 2ln + -1lnx Combine like terms: -2ln + 2ln = 0 4ln + lnx = 7 + 0 + -1lnx 4ln + lnx = 7 + -1lnx Add 'lnx' to each side of the equation. 4ln + lnx + lnx = 7 + -1lnx + lnx Combine like terms: lnx + lnx = 2lnx 4ln + 2lnx = 7 + -1lnx + lnx Combine like terms: -1lnx + lnx = 0 4ln + 2lnx = 7 + 0 4ln + 2lnx = 7 Reorder the terms: -7 + 4ln + 2lnx = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 4ln + 2lnx = 0 The solution to this equation could not be determined.
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