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Simplifying 2lnx = ln(x + -2) + ln(x + 5) Reorder the terms: 2lnx = ln(-2 + x) + ln(x + 5) 2lnx = (-2 * ln + x * ln) + ln(x + 5) 2lnx = (-2ln + lnx) + ln(x + 5) Reorder the terms: 2lnx = -2ln + lnx + ln(5 + x) 2lnx = -2ln + lnx + (5 * ln + x * ln) 2lnx = -2ln + lnx + (5ln + lnx) Reorder the terms: 2lnx = -2ln + 5ln + lnx + lnx Combine like terms: -2ln + 5ln = 3ln 2lnx = 3ln + lnx + lnx Combine like terms: lnx + lnx = 2lnx 2lnx = 3ln + 2lnx Add '-2lnx' to each side of the equation. 2lnx + -2lnx = 3ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 0 = 3ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 0 = 3ln + 0 0 = 3ln Solving 0 = 3ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3ln' to each side of the equation. 0 + -3ln = 3ln + -3ln Remove the zero: -3ln = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 -3ln = 0 Divide each side by '-3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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