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Simplifying 7 + ln(x + 1) = 5 + ln(3x + 2) Reorder the terms: 7 + ln(1 + x) = 5 + ln(3x + 2) 7 + (1 * ln + x * ln) = 5 + ln(3x + 2) 7 + (1ln + lnx) = 5 + ln(3x + 2) Reorder the terms: 7 + 1ln + lnx = 5 + ln(2 + 3x) 7 + 1ln + lnx = 5 + (2 * ln + 3x * ln) 7 + 1ln + lnx = 5 + (2ln + 3lnx) Solving 7 + 1ln + lnx = 5 + 2ln + 3lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2ln' to each side of the equation. 7 + 1ln + -2ln + lnx = 5 + 2ln + -2ln + 3lnx Combine like terms: 1ln + -2ln = -1ln 7 + -1ln + lnx = 5 + 2ln + -2ln + 3lnx Combine like terms: 2ln + -2ln = 0 7 + -1ln + lnx = 5 + 0 + 3lnx 7 + -1ln + lnx = 5 + 3lnx Add '-3lnx' to each side of the equation. 7 + -1ln + lnx + -3lnx = 5 + 3lnx + -3lnx Combine like terms: lnx + -3lnx = -2lnx 7 + -1ln + -2lnx = 5 + 3lnx + -3lnx Combine like terms: 3lnx + -3lnx = 0 7 + -1ln + -2lnx = 5 + 0 7 + -1ln + -2lnx = 5 Add '-7' to each side of the equation. 7 + -1ln + -7 + -2lnx = 5 + -7 Reorder the terms: 7 + -7 + -1ln + -2lnx = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -1ln + -2lnx = 5 + -7 -1ln + -2lnx = 5 + -7 Combine like terms: 5 + -7 = -2 -1ln + -2lnx = -2 Reorder the terms: 2 + -1ln + -2lnx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -1ln + -2lnx = 0 The solution to this equation could not be determined.
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