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Simplifying ln(5x + 10) + -1ln(x + -2) = 3x Reorder the terms: ln(10 + 5x) + -1ln(x + -2) = 3x (10 * ln + 5x * ln) + -1ln(x + -2) = 3x (10ln + 5lnx) + -1ln(x + -2) = 3x Reorder the terms: 10ln + 5lnx + -1ln(-2 + x) = 3x 10ln + 5lnx + (-2 * -1ln + x * -1ln) = 3x 10ln + 5lnx + (2ln + -1lnx) = 3x Reorder the terms: 10ln + 2ln + 5lnx + -1lnx = 3x Combine like terms: 10ln + 2ln = 12ln 12ln + 5lnx + -1lnx = 3x Combine like terms: 5lnx + -1lnx = 4lnx 12ln + 4lnx = 3x Solving 12ln + 4lnx = 3x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Combine like terms: 3x + -3x = 0 12ln + 4lnx + -3x = 0 The solution to this equation could not be determined.
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