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Simplifying ln(x + -3) + ln(x + -2) + -1ln(2x + 24) = 0 Reorder the terms: ln(-3 + x) + ln(x + -2) + -1ln(2x + 24) = 0 (-3 * ln + x * ln) + ln(x + -2) + -1ln(2x + 24) = 0 (-3ln + lnx) + ln(x + -2) + -1ln(2x + 24) = 0 Reorder the terms: -3ln + lnx + ln(-2 + x) + -1ln(2x + 24) = 0 -3ln + lnx + (-2 * ln + x * ln) + -1ln(2x + 24) = 0 -3ln + lnx + (-2ln + lnx) + -1ln(2x + 24) = 0 Reorder the terms: -3ln + lnx + -2ln + lnx + -1ln(24 + 2x) = 0 -3ln + lnx + -2ln + lnx + (24 * -1ln + 2x * -1ln) = 0 -3ln + lnx + -2ln + lnx + (-24ln + -2lnx) = 0 Reorder the terms: -3ln + -2ln + -24ln + lnx + lnx + -2lnx = 0 Combine like terms: -3ln + -2ln = -5ln -5ln + -24ln + lnx + lnx + -2lnx = 0 Combine like terms: -5ln + -24ln = -29ln -29ln + lnx + lnx + -2lnx = 0 Combine like terms: lnx + lnx = 2lnx -29ln + 2lnx + -2lnx = 0 Combine like terms: 2lnx + -2lnx = 0 -29ln + 0 = 0 -29ln = 0 Solving -29ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '-29'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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