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Simplifying ln(x + 9) + (x + -3) = 2ln Reorder the terms: ln(9 + x) + (x + -3) = 2ln (9 * ln + x * ln) + (x + -3) = 2ln (9ln + lnx) + (x + -3) = 2ln Reorder the terms: 9ln + lnx + (-3 + x) = 2ln Remove parenthesis around (-3 + x) 9ln + lnx + -3 + x = 2ln Reorder the terms: -3 + 9ln + lnx + x = 2ln Solving -3 + 9ln + lnx + x = 2ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2ln' to each side of the equation. -3 + 9ln + lnx + -2ln + x = 2ln + -2ln Reorder the terms: -3 + 9ln + -2ln + lnx + x = 2ln + -2ln Combine like terms: 9ln + -2ln = 7ln -3 + 7ln + lnx + x = 2ln + -2ln Combine like terms: 2ln + -2ln = 0 -3 + 7ln + lnx + x = 0 Add '3' to each side of the equation. -3 + 7ln + lnx + 3 + x = 0 + 3 Reorder the terms: -3 + 3 + 7ln + lnx + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7ln + lnx + x = 0 + 3 7ln + lnx + x = 0 + 3 Combine like terms: 0 + 3 = 3 7ln + lnx + x = 3 Add '-1x' to each side of the equation. 7ln + lnx + x + -1x = 3 + -1x Combine like terms: x + -1x = 0 7ln + lnx + 0 = 3 + -1x 7ln + lnx = 3 + -1x Reorder the terms: -3 + 7ln + lnx + x = 3 + -1x + -3 + x Reorder the terms: -3 + 7ln + lnx + x = 3 + -3 + -1x + x Combine like terms: 3 + -3 = 0 -3 + 7ln + lnx + x = 0 + -1x + x -3 + 7ln + lnx + x = -1x + x Combine like terms: -1x + x = 0 -3 + 7ln + lnx + x = 0 The solution to this equation could not be determined.
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