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Simplifying ln(6x + -2) + 1 = ln(2x + 7) Reorder the terms: ln(-2 + 6x) + 1 = ln(2x + 7) (-2 * ln + 6x * ln) + 1 = ln(2x + 7) (-2ln + 6lnx) + 1 = ln(2x + 7) Reorder the terms: 1 + -2ln + 6lnx = ln(2x + 7) Reorder the terms: 1 + -2ln + 6lnx = ln(7 + 2x) 1 + -2ln + 6lnx = (7 * ln + 2x * ln) 1 + -2ln + 6lnx = (7ln + 2lnx) Solving 1 + -2ln + 6lnx = 7ln + 2lnx 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. 1 + -2ln + -7ln + 6lnx = 7ln + -7ln + 2lnx Combine like terms: -2ln + -7ln = -9ln 1 + -9ln + 6lnx = 7ln + -7ln + 2lnx Combine like terms: 7ln + -7ln = 0 1 + -9ln + 6lnx = 0 + 2lnx 1 + -9ln + 6lnx = 2lnx Add '-2lnx' to each side of the equation. 1 + -9ln + 6lnx + -2lnx = 2lnx + -2lnx Combine like terms: 6lnx + -2lnx = 4lnx 1 + -9ln + 4lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 1 + -9ln + 4lnx = 0 Add '-1' to each side of the equation. 1 + -9ln + -1 + 4lnx = 0 + -1 Reorder the terms: 1 + -1 + -9ln + 4lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9ln + 4lnx = 0 + -1 -9ln + 4lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -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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