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Simplifying ln(x + 2) = ln(x + -7) + ln(4) Reorder the terms: ln(2 + x) = ln(x + -7) + ln(4) (2 * ln + x * ln) = ln(x + -7) + ln(4) (2ln + lnx) = ln(x + -7) + ln(4) Reorder the terms: 2ln + lnx = ln(-7 + x) + ln(4) 2ln + lnx = (-7 * ln + x * ln) + ln(4) 2ln + lnx = (-7ln + lnx) + ln(4) Reorder the terms for easier multiplication: 2ln + lnx = -7ln + lnx + 4ln Reorder the terms: 2ln + lnx = -7ln + 4ln + lnx Combine like terms: -7ln + 4ln = -3ln 2ln + lnx = -3ln + lnx Add '-1lnx' to each side of the equation. 2ln + lnx + -1lnx = -3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 2ln + 0 = -3ln + lnx + -1lnx 2ln = -3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 2ln = -3ln + 0 2ln = -3ln Solving 2ln = -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. 2ln + 3ln = -3ln + 3ln Combine like terms: 2ln + 3ln = 5ln 5ln = -3ln + 3ln Combine like terms: -3ln + 3ln = 0 5ln = 0 Divide each side by '5'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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