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Simplifying 2ln(2x + -1) = 1 + ln(7) Reorder the terms: 2ln(-1 + 2x) = 1 + ln(7) (-1 * 2ln + 2x * 2ln) = 1 + ln(7) (-2ln + 4lnx) = 1 + ln(7) Reorder the terms for easier multiplication: -2ln + 4lnx = 1 + 7ln Solving -2ln + 4lnx = 1 + 7ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7ln' to each side of the equation. -2ln + -7ln + 4lnx = 1 + 7ln + -7ln Combine like terms: -2ln + -7ln = -9ln -9ln + 4lnx = 1 + 7ln + -7ln Combine like terms: 7ln + -7ln = 0 -9ln + 4lnx = 1 + 0 -9ln + 4lnx = 1 Reorder the terms: -1 + -9ln + 4lnx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -9ln + 4lnx = 0 The solution to this equation could not be determined.
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