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Simplifying (x + 6) + -1ln(2x + -1) = 1 Reorder the terms: (6 + x) + -1ln(2x + -1) = 1 Remove parenthesis around (6 + x) 6 + x + -1ln(2x + -1) = 1 Reorder the terms: 6 + x + -1ln(-1 + 2x) = 1 6 + x + (-1 * -1ln + 2x * -1ln) = 1 6 + x + (1ln + -2lnx) = 1 Reorder the terms: 6 + 1ln + -2lnx + x = 1 Solving 6 + 1ln + -2lnx + x = 1 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 1ln + -2lnx + -6 + x = 1 + -6 Reorder the terms: 6 + -6 + 1ln + -2lnx + x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 1ln + -2lnx + x = 1 + -6 1ln + -2lnx + x = 1 + -6 Combine like terms: 1 + -6 = -5 1ln + -2lnx + x = -5 Add '-1x' to each side of the equation. 1ln + -2lnx + x + -1x = -5 + -1x Combine like terms: x + -1x = 0 1ln + -2lnx + 0 = -5 + -1x 1ln + -2lnx = -5 + -1x Reorder the terms: 5 + 1ln + -2lnx + x = -5 + -1x + 5 + x Reorder the terms: 5 + 1ln + -2lnx + x = -5 + 5 + -1x + x Combine like terms: -5 + 5 = 0 5 + 1ln + -2lnx + x = 0 + -1x + x 5 + 1ln + -2lnx + x = -1x + x Combine like terms: -1x + x = 0 5 + 1ln + -2lnx + x = 0 The solution to this equation could not be determined.
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