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Simplifying log(2x + 3) = log(3x + -5) + 8 Reorder the terms: glo(3 + 2x) = log(3x + -5) + 8 (3 * glo + 2x * glo) = log(3x + -5) + 8 (3glo + 2glox) = log(3x + -5) + 8 Reorder the terms: 3glo + 2glox = glo(-5 + 3x) + 8 3glo + 2glox = (-5 * glo + 3x * glo) + 8 3glo + 2glox = (-5glo + 3glox) + 8 Reorder the terms: 3glo + 2glox = 8 + -5glo + 3glox Solving 3glo + 2glox = 8 + -5glo + 3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5glo' to each side of the equation. 3glo + 5glo + 2glox = 8 + -5glo + 5glo + 3glox Combine like terms: 3glo + 5glo = 8glo 8glo + 2glox = 8 + -5glo + 5glo + 3glox Combine like terms: -5glo + 5glo = 0 8glo + 2glox = 8 + 0 + 3glox 8glo + 2glox = 8 + 3glox Add '-3glox' to each side of the equation. 8glo + 2glox + -3glox = 8 + 3glox + -3glox Combine like terms: 2glox + -3glox = -1glox 8glo + -1glox = 8 + 3glox + -3glox Combine like terms: 3glox + -3glox = 0 8glo + -1glox = 8 + 0 8glo + -1glox = 8 Reorder the terms: -8 + 8glo + -1glox = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 8glo + -1glox = 0 The solution to this equation could not be determined.
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