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Simplifying 23.18 = x + -1ln(1 + x) 23.18 = x + (1 * -1ln + x * -1ln) 23.18 = x + (-1ln + -1lnx) Reorder the terms: 23.18 = -1ln + -1lnx + x Solving 23.18 = -1ln + -1lnx + x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'ln' to each side of the equation. 23.18 + ln = -1ln + -1lnx + ln + x Reorder the terms: 23.18 + ln = -1ln + ln + -1lnx + x Combine like terms: -1ln + ln = 0 23.18 + ln = 0 + -1lnx + x 23.18 + ln = -1lnx + x Add 'lnx' to each side of the equation. 23.18 + ln + lnx = -1lnx + lnx + x Combine like terms: -1lnx + lnx = 0 23.18 + ln + lnx = 0 + x 23.18 + ln + lnx = x Add '-23.18' to each side of the equation. 23.18 + ln + -23.18 + lnx = -23.18 + x Reorder the terms: 23.18 + -23.18 + ln + lnx = -23.18 + x Combine like terms: 23.18 + -23.18 = 0.00 0.00 + ln + lnx = -23.18 + x ln + lnx = -23.18 + x Reorder the terms: 23.18 + ln + lnx + -1x = -23.18 + x + 23.18 + -1x Reorder the terms: 23.18 + ln + lnx + -1x = -23.18 + 23.18 + x + -1x Combine like terms: -23.18 + 23.18 = 0.00 23.18 + ln + lnx + -1x = 0.00 + x + -1x 23.18 + ln + lnx + -1x = x + -1x Combine like terms: x + -1x = 0 23.18 + ln + lnx + -1x = 0 The solution to this equation could not be determined.
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