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Simplifying 7 + ln(27x) = 25 + -2ln(x) Remove parenthesis around (27x) 7 + ln * 27x = 25 + -2ln(x) Reorder the terms for easier multiplication: 7 + 27ln * x = 25 + -2ln(x) Multiply ln * x 7 + 27lnx = 25 + -2ln(x) Multiply ln * x 7 + 27lnx = 25 + -2lnx Solving 7 + 27lnx = 25 + -2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2lnx' to each side of the equation. 7 + 27lnx + 2lnx = 25 + -2lnx + 2lnx Combine like terms: 27lnx + 2lnx = 29lnx 7 + 29lnx = 25 + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 7 + 29lnx = 25 + 0 7 + 29lnx = 25 Add '-7' to each side of the equation. 7 + -7 + 29lnx = 25 + -7 Combine like terms: 7 + -7 = 0 0 + 29lnx = 25 + -7 29lnx = 25 + -7 Combine like terms: 25 + -7 = 18 29lnx = 18 Divide each side by '29nx'. l = 0.6206896552n-1x-1 Simplifying l = 0.6206896552n-1x-1
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