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Simplifying 2lnx + 8 = ln(2x) + 12 Reorder the terms: 8 + 2lnx = ln(2x) + 12 Remove parenthesis around (2x) 8 + 2lnx = ln * 2x + 12 Reorder the terms for easier multiplication: 8 + 2lnx = 2ln * x + 12 Multiply ln * x 8 + 2lnx = 2lnx + 12 Reorder the terms: 8 + 2lnx = 12 + 2lnx Add '-2lnx' to each side of the equation. 8 + 2lnx + -2lnx = 12 + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 8 + 0 = 12 + 2lnx + -2lnx 8 = 12 + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 8 = 12 + 0 8 = 12 Solving 8 = 12 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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