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Simplifying 5lnx + e = ln(x + 1) Reorder the terms: e + 5lnx = ln(x + 1) Reorder the terms: e + 5lnx = ln(1 + x) e + 5lnx = (1 * ln + x * ln) e + 5lnx = (1ln + lnx) Solving e + 5lnx = 1ln + lnx Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5lnx' to each side of the equation. e + 5lnx + -5lnx = 1ln + lnx + -5lnx Combine like terms: 5lnx + -5lnx = 0 e + 0 = 1ln + lnx + -5lnx e = 1ln + lnx + -5lnx Combine like terms: lnx + -5lnx = -4lnx e = 1ln + -4lnx Simplifying e = 1ln + -4lnx
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