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Simplifying 1 + ln(x + 1) = ln(4x + -7) Reorder the terms: 1 + ln(1 + x) = ln(4x + -7) 1 + (1 * ln + x * ln) = ln(4x + -7) 1 + (1ln + lnx) = ln(4x + -7) Reorder the terms: 1 + 1ln + lnx = ln(-7 + 4x) 1 + 1ln + lnx = (-7 * ln + 4x * ln) 1 + 1ln + lnx = (-7ln + 4lnx) Solving 1 + 1ln + lnx = -7ln + 4lnx 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. 1 + 1ln + 7ln + lnx = -7ln + 7ln + 4lnx Combine like terms: 1ln + 7ln = 8ln 1 + 8ln + lnx = -7ln + 7ln + 4lnx Combine like terms: -7ln + 7ln = 0 1 + 8ln + lnx = 0 + 4lnx 1 + 8ln + lnx = 4lnx Add '-4lnx' to each side of the equation. 1 + 8ln + lnx + -4lnx = 4lnx + -4lnx Combine like terms: lnx + -4lnx = -3lnx 1 + 8ln + -3lnx = 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 1 + 8ln + -3lnx = 0 Add '-1' to each side of the equation. 1 + 8ln + -1 + -3lnx = 0 + -1 Reorder the terms: 1 + -1 + 8ln + -3lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8ln + -3lnx = 0 + -1 8ln + -3lnx = 0 + -1 Combine like terms: 0 + -1 = -1 8ln + -3lnx = -1 Reorder the terms: 1 + 8ln + -3lnx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 8ln + -3lnx = 0 The solution to this equation could not be determined.
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