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Simplifying ln(5x + 4) = 2 + ln(6x + -7) Reorder the terms: ln(4 + 5x) = 2 + ln(6x + -7) (4 * ln + 5x * ln) = 2 + ln(6x + -7) (4ln + 5lnx) = 2 + ln(6x + -7) Reorder the terms: 4ln + 5lnx = 2 + ln(-7 + 6x) 4ln + 5lnx = 2 + (-7 * ln + 6x * ln) 4ln + 5lnx = 2 + (-7ln + 6lnx) Solving 4ln + 5lnx = 2 + -7ln + 6lnx 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. 4ln + 7ln + 5lnx = 2 + -7ln + 7ln + 6lnx Combine like terms: 4ln + 7ln = 11ln 11ln + 5lnx = 2 + -7ln + 7ln + 6lnx Combine like terms: -7ln + 7ln = 0 11ln + 5lnx = 2 + 0 + 6lnx 11ln + 5lnx = 2 + 6lnx Add '-6lnx' to each side of the equation. 11ln + 5lnx + -6lnx = 2 + 6lnx + -6lnx Combine like terms: 5lnx + -6lnx = -1lnx 11ln + -1lnx = 2 + 6lnx + -6lnx Combine like terms: 6lnx + -6lnx = 0 11ln + -1lnx = 2 + 0 11ln + -1lnx = 2 Reorder the terms: -2 + 11ln + -1lnx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 11ln + -1lnx = 0 The solution to this equation could not be determined.
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