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Simplifying ln(x) + -1ln(x + -7) = ln(7) Multiply ln * x lnx + -1ln(x + -7) = ln(7) Reorder the terms: lnx + -1ln(-7 + x) = ln(7) lnx + (-7 * -1ln + x * -1ln) = ln(7) lnx + (7ln + -1lnx) = ln(7) Reorder the terms: 7ln + lnx + -1lnx = ln(7) Combine like terms: lnx + -1lnx = 0 7ln + 0 = ln(7) 7ln = ln(7) Reorder the terms for easier multiplication: 7ln = 7ln Add '-7ln' to each side of the equation. 7ln + -7ln = 7ln + -7ln Combine like terms: 7ln + -7ln = 0 0 = 7ln + -7ln Combine like terms: 7ln + -7ln = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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