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Simplifying 7 + ln(8x) = 22 + -2ln(x) Remove parenthesis around (8x) 7 + ln * 8x = 22 + -2ln(x) Reorder the terms for easier multiplication: 7 + 8ln * x = 22 + -2ln(x) Multiply ln * x 7 + 8lnx = 22 + -2ln(x) Multiply ln * x 7 + 8lnx = 22 + -2lnx Solving 7 + 8lnx = 22 + -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 + 8lnx + 2lnx = 22 + -2lnx + 2lnx Combine like terms: 8lnx + 2lnx = 10lnx 7 + 10lnx = 22 + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 7 + 10lnx = 22 + 0 7 + 10lnx = 22 Add '-7' to each side of the equation. 7 + -7 + 10lnx = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 10lnx = 22 + -7 10lnx = 22 + -7 Combine like terms: 22 + -7 = 15 10lnx = 15 Divide each side by '10nx'. l = 1.5n-1x-1 Simplifying l = 1.5n-1x-1
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