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Simplifying 3x * ln(2) = (2x + 1) * ln(3) Reorder the terms for easier multiplication: 3 * 2x * ln = (2x + 1) * ln(3) Multiply 3 * 2 6x * ln = (2x + 1) * ln(3) Multiply x * ln 6lnx = (2x + 1) * ln(3) Reorder the terms: 6lnx = (1 + 2x) * ln(3) Reorder the terms for easier multiplication: 6lnx = 3ln(1 + 2x) 6lnx = (1 * 3ln + 2x * 3ln) 6lnx = (3ln + 6lnx) Add '-6lnx' to each side of the equation. 6lnx + -6lnx = 3ln + 6lnx + -6lnx Combine like terms: 6lnx + -6lnx = 0 0 = 3ln + 6lnx + -6lnx Combine like terms: 6lnx + -6lnx = 0 0 = 3ln + 0 0 = 3ln Solving 0 = 3ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3ln' to each side of the equation. 0 + -3ln = 3ln + -3ln Remove the zero: -3ln = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 -3ln = 0 Divide each side by '-3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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