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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 = 4ln 4ln = -1ln + ln Combine like terms: -1ln + ln = 0 4ln = 0 Divide each side by '4'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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