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Simplifying 4x + -2 + -3ln(2x + 1) = 1 Reorder the terms: 4x + -2 + -3ln(1 + 2x) = 1 4x + -2 + (1 * -3ln + 2x * -3ln) = 1 4x + -2 + (-3ln + -6lnx) = 1 Reorder the terms: -2 + -3ln + -6lnx + 4x = 1 Solving -2 + -3ln + -6lnx + 4x = 1 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3ln + -6lnx + 2 + 4x = 1 + 2 Reorder the terms: -2 + 2 + -3ln + -6lnx + 4x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -3ln + -6lnx + 4x = 1 + 2 -3ln + -6lnx + 4x = 1 + 2 Combine like terms: 1 + 2 = 3 -3ln + -6lnx + 4x = 3 Add '-4x' to each side of the equation. -3ln + -6lnx + 4x + -4x = 3 + -4x Combine like terms: 4x + -4x = 0 -3ln + -6lnx + 0 = 3 + -4x -3ln + -6lnx = 3 + -4x Reorder the terms: -3 + -3ln + -6lnx + 4x = 3 + -4x + -3 + 4x Reorder the terms: -3 + -3ln + -6lnx + 4x = 3 + -3 + -4x + 4x Combine like terms: 3 + -3 = 0 -3 + -3ln + -6lnx + 4x = 0 + -4x + 4x -3 + -3ln + -6lnx + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -3 + -3ln + -6lnx + 4x = 0 The solution to this equation could not be determined.
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