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Simplifying 2ln(x + -4) = ln(x + -3) + ln(x + 9) Reorder the terms: 2ln(-4 + x) = ln(x + -3) + ln(x + 9) (-4 * 2ln + x * 2ln) = ln(x + -3) + ln(x + 9) (-8ln + 2lnx) = ln(x + -3) + ln(x + 9) Reorder the terms: -8ln + 2lnx = ln(-3 + x) + ln(x + 9) -8ln + 2lnx = (-3 * ln + x * ln) + ln(x + 9) -8ln + 2lnx = (-3ln + lnx) + ln(x + 9) Reorder the terms: -8ln + 2lnx = -3ln + lnx + ln(9 + x) -8ln + 2lnx = -3ln + lnx + (9 * ln + x * ln) -8ln + 2lnx = -3ln + lnx + (9ln + lnx) Reorder the terms: -8ln + 2lnx = -3ln + 9ln + lnx + lnx Combine like terms: -3ln + 9ln = 6ln -8ln + 2lnx = 6ln + lnx + lnx Combine like terms: lnx + lnx = 2lnx -8ln + 2lnx = 6ln + 2lnx Add '-2lnx' to each side of the equation. -8ln + 2lnx + -2lnx = 6ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -8ln + 0 = 6ln + 2lnx + -2lnx -8ln = 6ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -8ln = 6ln + 0 -8ln = 6ln Solving -8ln = 6ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. -8ln + -6ln = 6ln + -6ln Combine like terms: -8ln + -6ln = -14ln -14ln = 6ln + -6ln Combine like terms: 6ln + -6ln = 0 -14ln = 0 Divide each side by '-14'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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