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Simplifying 0.375 = x + ln(x + -0.2) Reorder the terms: 0.375 = x + ln(-0.2 + x) 0.375 = x + (-0.2 * ln + x * ln) 0.375 = x + (-0.2ln + lnx) Reorder the terms: 0.375 = -0.2ln + lnx + x Solving 0.375 = -0.2ln + lnx + x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '0.2ln' to each side of the equation. 0.375 + 0.2ln = -0.2ln + lnx + 0.2ln + x Reorder the terms: 0.375 + 0.2ln = -0.2ln + 0.2ln + lnx + x Combine like terms: -0.2ln + 0.2ln = 0.0 0.375 + 0.2ln = 0.0 + lnx + x 0.375 + 0.2ln = lnx + x Add '-1lnx' to each side of the equation. 0.375 + 0.2ln + -1lnx = lnx + -1lnx + x Combine like terms: lnx + -1lnx = 0 0.375 + 0.2ln + -1lnx = 0 + x 0.375 + 0.2ln + -1lnx = x Add '-0.375' to each side of the equation. 0.375 + 0.2ln + -0.375 + -1lnx = -0.375 + x Reorder the terms: 0.375 + -0.375 + 0.2ln + -1lnx = -0.375 + x Combine like terms: 0.375 + -0.375 = 0.000 0.000 + 0.2ln + -1lnx = -0.375 + x 0.2ln + -1lnx = -0.375 + x Reorder the terms: 0.375 + 0.2ln + -1lnx + -1x = -0.375 + x + 0.375 + -1x Reorder the terms: 0.375 + 0.2ln + -1lnx + -1x = -0.375 + 0.375 + x + -1x Combine like terms: -0.375 + 0.375 = 0.000 0.375 + 0.2ln + -1lnx + -1x = 0.000 + x + -1x 0.375 + 0.2ln + -1lnx + -1x = x + -1x Combine like terms: x + -1x = 0 0.375 + 0.2ln + -1lnx + -1x = 0 The solution to this equation could not be determined.
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