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