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Simplifying F(x) = 2ln(6 + -1x) + 3 Multiply F * x xF = 2ln(6 + -1x) + 3 xF = (6 * 2ln + -1x * 2ln) + 3 xF = (12ln + -2lnx) + 3 Reorder the terms: xF = 3 + 12ln + -2lnx Solving xF = 3 + 12ln + -2lnx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2lnx' to each side of the equation. 2lnx + xF = 3 + 12ln + -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 2lnx + xF = 3 + 12ln + 0 2lnx + xF = 3 + 12ln Reorder the terms: -3 + -12ln + 2lnx + xF = 3 + 12ln + -3 + -12ln Reorder the terms: -3 + -12ln + 2lnx + xF = 3 + -3 + 12ln + -12ln Combine like terms: 3 + -3 = 0 -3 + -12ln + 2lnx + xF = 0 + 12ln + -12ln -3 + -12ln + 2lnx + xF = 12ln + -12ln Combine like terms: 12ln + -12ln = 0 -3 + -12ln + 2lnx + xF = 0 The solution to this equation could not be determined.
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