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Simplifying ln(4x + 3) + 4 + ln(7x + 4) + -8 = 2 Reorder the terms: ln(3 + 4x) + 4 + ln(7x + 4) + -8 = 2 (3 * ln + 4x * ln) + 4 + ln(7x + 4) + -8 = 2 (3ln + 4lnx) + 4 + ln(7x + 4) + -8 = 2 Reorder the terms: 3ln + 4lnx + 4 + ln(4 + 7x) + -8 = 2 3ln + 4lnx + 4 + (4 * ln + 7x * ln) + -8 = 2 3ln + 4lnx + 4 + (4ln + 7lnx) + -8 = 2 Reorder the terms: 4 + -8 + 3ln + 4ln + 4lnx + 7lnx = 2 Combine like terms: 4 + -8 = -4 -4 + 3ln + 4ln + 4lnx + 7lnx = 2 Combine like terms: 3ln + 4ln = 7ln -4 + 7ln + 4lnx + 7lnx = 2 Combine like terms: 4lnx + 7lnx = 11lnx -4 + 7ln + 11lnx = 2 Solving -4 + 7ln + 11lnx = 2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 7ln + 4 + 11lnx = 2 + 4 Reorder the terms: -4 + 4 + 7ln + 11lnx = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 7ln + 11lnx = 2 + 4 7ln + 11lnx = 2 + 4 Combine like terms: 2 + 4 = 6 7ln + 11lnx = 6 Reorder the terms: -6 + 7ln + 11lnx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 7ln + 11lnx = 0 The solution to this equation could not be determined.
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