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Simplifying 1 + -1lnx = ln(x + 7) Reorder the terms: 1 + -1lnx = ln(7 + x) 1 + -1lnx = (7 * ln + x * ln) 1 + -1lnx = (7ln + lnx) Solving 1 + -1lnx = 7ln + lnx 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 + -7ln + -1lnx = 7ln + -7ln + lnx Combine like terms: 7ln + -7ln = 0 1 + -7ln + -1lnx = 0 + lnx 1 + -7ln + -1lnx = lnx Add '-1lnx' to each side of the equation. 1 + -7ln + -1lnx + -1lnx = lnx + -1lnx Combine like terms: -1lnx + -1lnx = -2lnx 1 + -7ln + -2lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 1 + -7ln + -2lnx = 0 Add '-1' to each side of the equation. 1 + -7ln + -1 + -2lnx = 0 + -1 Reorder the terms: 1 + -1 + -7ln + -2lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7ln + -2lnx = 0 + -1 -7ln + -2lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -7ln + -2lnx = -1 Reorder the terms: 1 + -7ln + -2lnx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -7ln + -2lnx = 0 The solution to this equation could not be determined.
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