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Simplifying 2lne + 3ln(x + -1) = 5 Reorder the terms: 2eln + 3ln(-1 + x) = 5 2eln + (-1 * 3ln + x * 3ln) = 5 2eln + (-3ln + 3lnx) = 5 Solving 2eln + -3ln + 3lnx = 5 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '3ln' to each side of the equation. 2eln + -3ln + 3ln + 3lnx = 5 + 3ln Combine like terms: -3ln + 3ln = 0 2eln + 0 + 3lnx = 5 + 3ln 2eln + 3lnx = 5 + 3ln Add '-3lnx' to each side of the equation. 2eln + 3lnx + -3lnx = 5 + 3ln + -3lnx Combine like terms: 3lnx + -3lnx = 0 2eln + 0 = 5 + 3ln + -3lnx 2eln = 5 + 3ln + -3lnx Divide each side by '2ln'. e = 2.5l-1n-1 + 1.5 + -1.5x Simplifying e = 2.5l-1n-1 + 1.5 + -1.5x Reorder the terms: e = 1.5 + 2.5l-1n-1 + -1.5x
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