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Simplifying ln * e * 8 + ln * x = 7.5 Reorder the terms for easier multiplication: 8ln * e + ln * x = 7.5 Multiply ln * e 8eln + ln * x = 7.5 Multiply ln * x 8eln + lnx = 7.5 Solving 8eln + lnx = 7.5 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1lnx' to each side of the equation. 8eln + lnx + -1lnx = 7.5 + -1lnx Combine like terms: lnx + -1lnx = 0 8eln + 0 = 7.5 + -1lnx 8eln = 7.5 + -1lnx Divide each side by '8ln'. e = 0.9375l-1n-1 + -0.125x Simplifying e = 0.9375l-1n-1 + -0.125x
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