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Simplifying ln(x + -3) + ln(x + -2) = (2x + 24) Reorder the terms: ln(-3 + x) + ln(x + -2) = (2x + 24) (-3 * ln + x * ln) + ln(x + -2) = (2x + 24) (-3ln + lnx) + ln(x + -2) = (2x + 24) Reorder the terms: -3ln + lnx + ln(-2 + x) = (2x + 24) -3ln + lnx + (-2 * ln + x * ln) = (2x + 24) -3ln + lnx + (-2ln + lnx) = (2x + 24) Reorder the terms: -3ln + -2ln + lnx + lnx = (2x + 24) Combine like terms: -3ln + -2ln = -5ln -5ln + lnx + lnx = (2x + 24) Combine like terms: lnx + lnx = 2lnx -5ln + 2lnx = (2x + 24) Reorder the terms: -5ln + 2lnx = (24 + 2x) Remove parenthesis around (24 + 2x) -5ln + 2lnx = 24 + 2x Solving -5ln + 2lnx = 24 + 2x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -24 + -5ln + 2lnx + -2x = 24 + 2x + -24 + -2x Reorder the terms: -24 + -5ln + 2lnx + -2x = 24 + -24 + 2x + -2x Combine like terms: 24 + -24 = 0 -24 + -5ln + 2lnx + -2x = 0 + 2x + -2x -24 + -5ln + 2lnx + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -24 + -5ln + 2lnx + -2x = 0 The solution to this equation could not be determined.
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