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Simplifying 2lnx + 7 = ln(4x) + 10 Reorder the terms: 7 + 2lnx = ln(4x) + 10 Remove parenthesis around (4x) 7 + 2lnx = ln * 4x + 10 Reorder the terms for easier multiplication: 7 + 2lnx = 4ln * x + 10 Multiply ln * x 7 + 2lnx = 4lnx + 10 Reorder the terms: 7 + 2lnx = 10 + 4lnx Solving 7 + 2lnx = 10 + 4lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4lnx' to each side of the equation. 7 + 2lnx + -4lnx = 10 + 4lnx + -4lnx Combine like terms: 2lnx + -4lnx = -2lnx 7 + -2lnx = 10 + 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 7 + -2lnx = 10 + 0 7 + -2lnx = 10 Add '-7' to each side of the equation. 7 + -7 + -2lnx = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -2lnx = 10 + -7 -2lnx = 10 + -7 Combine like terms: 10 + -7 = 3 -2lnx = 3 Divide each side by '-2nx'. l = -1.5n-1x-1 Simplifying l = -1.5n-1x-1
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