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Simplifying ln(3x + 7) = ln(3x + -1) Reorder the terms: ln(7 + 3x) = ln(3x + -1) (7 * ln + 3x * ln) = ln(3x + -1) (7ln + 3lnx) = ln(3x + -1) Reorder the terms: 7ln + 3lnx = ln(-1 + 3x) 7ln + 3lnx = (-1 * ln + 3x * ln) 7ln + 3lnx = (-1ln + 3lnx) Add '-3lnx' to each side of the equation. 7ln + 3lnx + -3lnx = -1ln + 3lnx + -3lnx Combine like terms: 3lnx + -3lnx = 0 7ln + 0 = -1ln + 3lnx + -3lnx 7ln = -1ln + 3lnx + -3lnx Combine like terms: 3lnx + -3lnx = 0 7ln = -1ln + 0 7ln = -1ln Solving 7ln = -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. 7ln + ln = -1ln + ln Combine like terms: 7ln + ln = 8ln 8ln = -1ln + ln Combine like terms: -1ln + ln = 0 8ln = 0 Divide each side by '8'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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