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Simplifying 2x(lnx + 1) = 0 Reorder the terms: 2x(1 + lnx) = 0 (1 * 2x + lnx * 2x) = 0 Reorder the terms: (2lnx2 + 2x) = 0 (2lnx2 + 2x) = 0 Solving 2lnx2 + 2x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2x' to each side of the equation. 2lnx2 + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 2lnx2 + 0 = 0 + -2x 2lnx2 = 0 + -2x Remove the zero: 2lnx2 = -2x Divide each side by '2nx2'. l = -1n-1x-1 Simplifying l = -1n-1x-1
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