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