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Simplifying ln(7 + -1x) + -1ln(3x + 2) = 1 (7 * ln + -1x * ln) + -1ln(3x + 2) = 1 (7ln + -1lnx) + -1ln(3x + 2) = 1 Reorder the terms: 7ln + -1lnx + -1ln(2 + 3x) = 1 7ln + -1lnx + (2 * -1ln + 3x * -1ln) = 1 7ln + -1lnx + (-2ln + -3lnx) = 1 Reorder the terms: 7ln + -2ln + -1lnx + -3lnx = 1 Combine like terms: 7ln + -2ln = 5ln 5ln + -1lnx + -3lnx = 1 Combine like terms: -1lnx + -3lnx = -4lnx 5ln + -4lnx = 1 Solving 5ln + -4lnx = 1 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -1 + 5ln + -4lnx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 5ln + -4lnx = 0 The solution to this equation could not be determined.
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