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Simplifying lnx + -1ln(x + 2) + (2x + -3) = 0 Reorder the terms: lnx + -1ln(2 + x) + (2x + -3) = 0 lnx + (2 * -1ln + x * -1ln) + (2x + -3) = 0 lnx + (-2ln + -1lnx) + (2x + -3) = 0 Reorder the terms: lnx + -2ln + -1lnx + (-3 + 2x) = 0 Remove parenthesis around (-3 + 2x) lnx + -2ln + -1lnx + -3 + 2x = 0 Reorder the terms: -3 + -2ln + lnx + -1lnx + 2x = 0 Combine like terms: lnx + -1lnx = 0 -3 + -2ln + 0 + 2x = 0 -3 + -2ln + 2x = 0 Solving -3 + -2ln + 2x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2ln + 3 + 2x = 0 + 3 Reorder the terms: -3 + 3 + -2ln + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2ln + 2x = 0 + 3 -2ln + 2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2ln + 2x = 3 Add '-2x' to each side of the equation. -2ln + 2x + -2x = 3 + -2x Combine like terms: 2x + -2x = 0 -2ln + 0 = 3 + -2x -2ln = 3 + -2x Divide each side by '-2n'. l = -1.5n-1 + n-1x Simplifying l = -1.5n-1 + n-1x
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