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Simplifying log(3x + 7) = log(x + -5) + 3 Reorder the terms: glo(7 + 3x) = log(x + -5) + 3 (7 * glo + 3x * glo) = log(x + -5) + 3 (7glo + 3glox) = log(x + -5) + 3 Reorder the terms: 7glo + 3glox = glo(-5 + x) + 3 7glo + 3glox = (-5 * glo + x * glo) + 3 7glo + 3glox = (-5glo + glox) + 3 Reorder the terms: 7glo + 3glox = 3 + -5glo + glox Solving 7glo + 3glox = 3 + -5glo + glox 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. 7glo + 5glo + 3glox = 3 + -5glo + 5glo + glox Combine like terms: 7glo + 5glo = 12glo 12glo + 3glox = 3 + -5glo + 5glo + glox Combine like terms: -5glo + 5glo = 0 12glo + 3glox = 3 + 0 + glox 12glo + 3glox = 3 + glox Add '-1glox' to each side of the equation. 12glo + 3glox + -1glox = 3 + glox + -1glox Combine like terms: 3glox + -1glox = 2glox 12glo + 2glox = 3 + glox + -1glox Combine like terms: glox + -1glox = 0 12glo + 2glox = 3 + 0 12glo + 2glox = 3 Reorder the terms: -3 + 12glo + 2glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 12glo + 2glox = 0 The solution to this equation could not be determined.
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