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Simplifying 2ln(x + -1) = ln(2x + 33) Reorder the terms: 2ln(-1 + x) = ln(2x + 33) (-1 * 2ln + x * 2ln) = ln(2x + 33) (-2ln + 2lnx) = ln(2x + 33) Reorder the terms: -2ln + 2lnx = ln(33 + 2x) -2ln + 2lnx = (33 * ln + 2x * ln) -2ln + 2lnx = (33ln + 2lnx) Add '-2lnx' to each side of the equation. -2ln + 2lnx + -2lnx = 33ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -2ln + 0 = 33ln + 2lnx + -2lnx -2ln = 33ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -2ln = 33ln + 0 -2ln = 33ln Solving -2ln = 33ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-33ln' to each side of the equation. -2ln + -33ln = 33ln + -33ln Combine like terms: -2ln + -33ln = -35ln -35ln = 33ln + -33ln Combine like terms: 33ln + -33ln = 0 -35ln = 0 Divide each side by '-35'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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