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Simplifying (x + -8) = ln(x + 4) + -1ln(x + -6) Reorder the terms: (-8 + x) = ln(x + 4) + -1ln(x + -6) Remove parenthesis around (-8 + x) -8 + x = ln(x + 4) + -1ln(x + -6) Reorder the terms: -8 + x = ln(4 + x) + -1ln(x + -6) -8 + x = (4 * ln + x * ln) + -1ln(x + -6) -8 + x = (4ln + lnx) + -1ln(x + -6) Reorder the terms: -8 + x = 4ln + lnx + -1ln(-6 + x) -8 + x = 4ln + lnx + (-6 * -1ln + x * -1ln) -8 + x = 4ln + lnx + (6ln + -1lnx) Reorder the terms: -8 + x = 4ln + 6ln + lnx + -1lnx Combine like terms: 4ln + 6ln = 10ln -8 + x = 10ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -8 + x = 10ln + 0 -8 + x = 10ln Solving -8 + x = 10ln Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 8 + 10ln Combine like terms: -8 + 8 = 0 0 + x = 8 + 10ln x = 8 + 10ln Simplifying x = 8 + 10ln
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