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Simplifying ln(x + -2) + (2x + 1) = 6 Reorder the terms: ln(-2 + x) + (2x + 1) = 6 (-2 * ln + x * ln) + (2x + 1) = 6 (-2ln + lnx) + (2x + 1) = 6 Reorder the terms: -2ln + lnx + (1 + 2x) = 6 Remove parenthesis around (1 + 2x) -2ln + lnx + 1 + 2x = 6 Reorder the terms: 1 + -2ln + lnx + 2x = 6 Solving 1 + -2ln + lnx + 2x = 6 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2ln + lnx + -1 + 2x = 6 + -1 Reorder the terms: 1 + -1 + -2ln + lnx + 2x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -2ln + lnx + 2x = 6 + -1 -2ln + lnx + 2x = 6 + -1 Combine like terms: 6 + -1 = 5 -2ln + lnx + 2x = 5 Add '-2x' to each side of the equation. -2ln + lnx + 2x + -2x = 5 + -2x Combine like terms: 2x + -2x = 0 -2ln + lnx + 0 = 5 + -2x -2ln + lnx = 5 + -2x Reorder the terms: -5 + -2ln + lnx + 2x = 5 + -2x + -5 + 2x Reorder the terms: -5 + -2ln + lnx + 2x = 5 + -5 + -2x + 2x Combine like terms: 5 + -5 = 0 -5 + -2ln + lnx + 2x = 0 + -2x + 2x -5 + -2ln + lnx + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -5 + -2ln + lnx + 2x = 0 The solution to this equation could not be determined.
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