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Simplifying lnx = 1 + ln(x + 1) Reorder the terms: lnx = 1 + ln(1 + x) lnx = 1 + (1 * ln + x * ln) lnx = 1 + (1ln + lnx) Add '-1lnx' to each side of the equation. lnx + -1lnx = 1 + 1ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 1 + 1ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 1 + 1ln + 0 0 = 1 + 1ln Solving 0 = 1 + 1ln 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 + -1ln = 1 + 1ln + -1ln Remove the zero: -1ln = 1 + 1ln + -1ln Combine like terms: 1ln + -1ln = 0 -1ln = 1 + 0 -1ln = 1 Divide each side by '-1n'. l = -1n-1 Simplifying l = -1n-1
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