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Simplifying ln(5x + -8) = 7 + ln(x + -3) Reorder the terms: ln(-8 + 5x) = 7 + ln(x + -3) (-8 * ln + 5x * ln) = 7 + ln(x + -3) (-8ln + 5lnx) = 7 + ln(x + -3) Reorder the terms: -8ln + 5lnx = 7 + ln(-3 + x) -8ln + 5lnx = 7 + (-3 * ln + x * ln) -8ln + 5lnx = 7 + (-3ln + lnx) Solving -8ln + 5lnx = 7 + -3ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3ln' to each side of the equation. -8ln + 3ln + 5lnx = 7 + -3ln + 3ln + lnx Combine like terms: -8ln + 3ln = -5ln -5ln + 5lnx = 7 + -3ln + 3ln + lnx Combine like terms: -3ln + 3ln = 0 -5ln + 5lnx = 7 + 0 + lnx -5ln + 5lnx = 7 + lnx Add '-1lnx' to each side of the equation. -5ln + 5lnx + -1lnx = 7 + lnx + -1lnx Combine like terms: 5lnx + -1lnx = 4lnx -5ln + 4lnx = 7 + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -5ln + 4lnx = 7 + 0 -5ln + 4lnx = 7 Reorder the terms: -7 + -5ln + 4lnx = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + -5ln + 4lnx = 0 The solution to this equation could not be determined.
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