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Simplifying ln(x + 7) + ln(x + -4) = 2lnx Reorder the terms: ln(7 + x) + ln(x + -4) = 2lnx (7 * ln + x * ln) + ln(x + -4) = 2lnx (7ln + lnx) + ln(x + -4) = 2lnx Reorder the terms: 7ln + lnx + ln(-4 + x) = 2lnx 7ln + lnx + (-4 * ln + x * ln) = 2lnx 7ln + lnx + (-4ln + lnx) = 2lnx Reorder the terms: 7ln + -4ln + lnx + lnx = 2lnx Combine like terms: 7ln + -4ln = 3ln 3ln + lnx + lnx = 2lnx Combine like terms: lnx + lnx = 2lnx 3ln + 2lnx = 2lnx Add '-2lnx' to each side of the equation. 3ln + 2lnx + -2lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 3ln + 0 = 2lnx + -2lnx 3ln = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 3ln = 0 Solving 3ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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