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Simplifying (4x + 2) + ln(x + 1) = 2lnx Reorder the terms: (2 + 4x) + ln(x + 1) = 2lnx Remove parenthesis around (2 + 4x) 2 + 4x + ln(x + 1) = 2lnx Reorder the terms: 2 + 4x + ln(1 + x) = 2lnx 2 + 4x + (1 * ln + x * ln) = 2lnx 2 + 4x + (1ln + lnx) = 2lnx Reorder the terms: 2 + 1ln + lnx + 4x = 2lnx Solving 2 + 1ln + lnx + 4x = 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx' to each side of the equation. 2 + 1ln + lnx + -2lnx + 4x = 2lnx + -2lnx Combine like terms: lnx + -2lnx = -1lnx 2 + 1ln + -1lnx + 4x = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 2 + 1ln + -1lnx + 4x = 0 Add '-2' to each side of the equation. 2 + 1ln + -1lnx + -2 + 4x = 0 + -2 Reorder the terms: 2 + -2 + 1ln + -1lnx + 4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1ln + -1lnx + 4x = 0 + -2 1ln + -1lnx + 4x = 0 + -2 Combine like terms: 0 + -2 = -2 1ln + -1lnx + 4x = -2 Add '-4x' to each side of the equation. 1ln + -1lnx + 4x + -4x = -2 + -4x Combine like terms: 4x + -4x = 0 1ln + -1lnx + 0 = -2 + -4x 1ln + -1lnx = -2 + -4x Reorder the terms: 2 + 1ln + -1lnx + 4x = -2 + -4x + 2 + 4x Reorder the terms: 2 + 1ln + -1lnx + 4x = -2 + 2 + -4x + 4x Combine like terms: -2 + 2 = 0 2 + 1ln + -1lnx + 4x = 0 + -4x + 4x 2 + 1ln + -1lnx + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 2 + 1ln + -1lnx + 4x = 0 The solution to this equation could not be determined.
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