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Simplifying ln(29995x + 40225) = 4 + ln(x + 4) Reorder the terms: ln(40225 + 29995x) = 4 + ln(x + 4) (40225 * ln + 29995x * ln) = 4 + ln(x + 4) (40225ln + 29995lnx) = 4 + ln(x + 4) Reorder the terms: 40225ln + 29995lnx = 4 + ln(4 + x) 40225ln + 29995lnx = 4 + (4 * ln + x * ln) 40225ln + 29995lnx = 4 + (4ln + lnx) Solving 40225ln + 29995lnx = 4 + 4ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ln' to each side of the equation. 40225ln + -4ln + 29995lnx = 4 + 4ln + -4ln + lnx Combine like terms: 40225ln + -4ln = 40221ln 40221ln + 29995lnx = 4 + 4ln + -4ln + lnx Combine like terms: 4ln + -4ln = 0 40221ln + 29995lnx = 4 + 0 + lnx 40221ln + 29995lnx = 4 + lnx Add '-1lnx' to each side of the equation. 40221ln + 29995lnx + -1lnx = 4 + lnx + -1lnx Combine like terms: 29995lnx + -1lnx = 29994lnx 40221ln + 29994lnx = 4 + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 40221ln + 29994lnx = 4 + 0 40221ln + 29994lnx = 4 Reorder the terms: -4 + 40221ln + 29994lnx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 40221ln + 29994lnx = 0 The solution to this equation could not be determined.
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