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