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Simplifying 2ln(X) + -1 = ln(5x) + 2 Multiply ln * X 2lnX + -1 = ln(5x) + 2 Reorder the terms: -1 + 2lnX = ln(5x) + 2 Remove parenthesis around (5x) -1 + 2lnX = ln * 5x + 2 Reorder the terms for easier multiplication: -1 + 2lnX = 5ln * x + 2 Multiply ln * x -1 + 2lnX = 5lnx + 2 Reorder the terms: -1 + 2lnX = 2 + 5lnx Solving -1 + 2lnX = 2 + 5lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5lnx' to each side of the equation. -1 + 2lnX + -5lnx = 2 + 5lnx + -5lnx Combine like terms: 5lnx + -5lnx = 0 -1 + 2lnX + -5lnx = 2 + 0 -1 + 2lnX + -5lnx = 2 Add '1' to each side of the equation. -1 + 2lnX + 1 + -5lnx = 2 + 1 Reorder the terms: -1 + 1 + 2lnX + -5lnx = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 2lnX + -5lnx = 2 + 1 2lnX + -5lnx = 2 + 1 Combine like terms: 2 + 1 = 3 2lnX + -5lnx = 3 Reorder the terms: -3 + 2lnX + -5lnx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 2lnX + -5lnx = 0 The solution to this equation could not be determined.
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