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Simplifying ln(2 + 2x) = 2ln(x + 1) (2 * ln + 2x * ln) = 2ln(x + 1) (2ln + 2lnx) = 2ln(x + 1) Reorder the terms: 2ln + 2lnx = 2ln(1 + x) 2ln + 2lnx = (1 * 2ln + x * 2ln) 2ln + 2lnx = (2ln + 2lnx) Add '-2ln' to each side of the equation. 2ln + -2ln + 2lnx = 2ln + -2ln + 2lnx Combine like terms: 2ln + -2ln = 0 0 + 2lnx = 2ln + -2ln + 2lnx 2lnx = 2ln + -2ln + 2lnx Combine like terms: 2ln + -2ln = 0 2lnx = 0 + 2lnx 2lnx = 2lnx Add '-2lnx' to each side of the equation. 2lnx + -2lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 0 = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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