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Simplifying x + ln(0.8) = ln(x + 1) Reorder the terms for easier multiplication: x + 0.8ln = ln(x + 1) Reorder the terms: 0.8ln + x = ln(x + 1) Reorder the terms: 0.8ln + x = ln(1 + x) 0.8ln + x = (1 * ln + x * ln) 0.8ln + x = (1ln + lnx) Solving 0.8ln + x = 1ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln' to each side of the equation. 0.8ln + -1ln + x = 1ln + -1ln + lnx Combine like terms: 0.8ln + -1ln = -0.2ln -0.2ln + x = 1ln + -1ln + lnx Combine like terms: 1ln + -1ln = 0 -0.2ln + x = 0 + lnx -0.2ln + x = lnx Add '-1lnx' to each side of the equation. -0.2ln + -1lnx + x = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -0.2ln + -1lnx + x = 0 Add '-1x' to each side of the equation. -0.2ln + -1lnx + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -0.2ln + -1lnx + 0 = 0 + -1x -0.2ln + -1lnx = 0 + -1x Remove the zero: -0.2ln + -1lnx = -1x Combine like terms: -1x + x = 0 -0.2ln + -1lnx + x = 0 The solution to this equation could not be determined.
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