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Simplifying ln(x + -3) + ln(x + -2) = (3x + -10) Reorder the terms: ln(-3 + x) + ln(x + -2) = (3x + -10) (-3 * ln + x * ln) + ln(x + -2) = (3x + -10) (-3ln + lnx) + ln(x + -2) = (3x + -10) Reorder the terms: -3ln + lnx + ln(-2 + x) = (3x + -10) -3ln + lnx + (-2 * ln + x * ln) = (3x + -10) -3ln + lnx + (-2ln + lnx) = (3x + -10) Reorder the terms: -3ln + -2ln + lnx + lnx = (3x + -10) Combine like terms: -3ln + -2ln = -5ln -5ln + lnx + lnx = (3x + -10) Combine like terms: lnx + lnx = 2lnx -5ln + 2lnx = (3x + -10) Reorder the terms: -5ln + 2lnx = (-10 + 3x) Remove parenthesis around (-10 + 3x) -5ln + 2lnx = -10 + 3x Solving -5ln + 2lnx = -10 + 3x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 10 + -5ln + 2lnx + -3x = -10 + 3x + 10 + -3x Reorder the terms: 10 + -5ln + 2lnx + -3x = -10 + 10 + 3x + -3x Combine like terms: -10 + 10 = 0 10 + -5ln + 2lnx + -3x = 0 + 3x + -3x 10 + -5ln + 2lnx + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 10 + -5ln + 2lnx + -3x = 0 The solution to this equation could not be determined.
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