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