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Simplifying ln(x + 8) + ln(x + -2) = 2ln(8.66) Reorder the terms: ln(8 + x) + ln(x + -2) = 2ln(8.66) (8 * ln + x * ln) + ln(x + -2) = 2ln(8.66) (8ln + lnx) + ln(x + -2) = 2ln(8.66) Reorder the terms: 8ln + lnx + ln(-2 + x) = 2ln(8.66) 8ln + lnx + (-2 * ln + x * ln) = 2ln(8.66) 8ln + lnx + (-2ln + lnx) = 2ln(8.66) Reorder the terms: 8ln + -2ln + lnx + lnx = 2ln(8.66) Combine like terms: 8ln + -2ln = 6ln 6ln + lnx + lnx = 2ln(8.66) Combine like terms: lnx + lnx = 2lnx 6ln + 2lnx = 2ln(8.66) Reorder the terms for easier multiplication: 6ln + 2lnx = 2 * 8.66ln Multiply 2 * 8.66 6ln + 2lnx = 17.32ln Solving 6ln + 2lnx = 17.32ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-17.32ln' to each side of the equation. 6ln + -17.32ln + 2lnx = 17.32ln + -17.32ln Combine like terms: 6ln + -17.32ln = -11.32ln -11.32ln + 2lnx = 17.32ln + -17.32ln Combine like terms: 17.32ln + -17.32ln = 0.00 -11.32ln + 2lnx = 0.00 The solution to this equation could not be determined.
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