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Simplifying x + ln(x + 1) = ln(3) + ln(4) Reorder the terms: x + ln(1 + x) = ln(3) + ln(4) x + (1 * ln + x * ln) = ln(3) + ln(4) x + (1ln + lnx) = ln(3) + ln(4) Reorder the terms: 1ln + lnx + x = ln(3) + ln(4) Reorder the terms for easier multiplication: 1ln + lnx + x = 3ln + ln(4) Reorder the terms for easier multiplication: 1ln + lnx + x = 3ln + 4ln Combine like terms: 3ln + 4ln = 7ln 1ln + lnx + x = 7ln Solving 1ln + lnx + x = 7ln 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. 1ln + lnx + -7ln + x = 7ln + -7ln Reorder the terms: 1ln + -7ln + lnx + x = 7ln + -7ln Combine like terms: 1ln + -7ln = -6ln -6ln + lnx + x = 7ln + -7ln Combine like terms: 7ln + -7ln = 0 -6ln + lnx + x = 0 Add '-1x' to each side of the equation. -6ln + lnx + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -6ln + lnx + 0 = 0 + -1x -6ln + lnx = 0 + -1x Remove the zero: -6ln + lnx = -1x Combine like terms: -1x + x = 0 -6ln + lnx + x = 0 The solution to this equation could not be determined.
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