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Simplifying log(6x + 12) = 1 + log(x + -6) Reorder the terms: glo(12 + 6x) = 1 + log(x + -6) (12 * glo + 6x * glo) = 1 + log(x + -6) (12glo + 6glox) = 1 + log(x + -6) Reorder the terms: 12glo + 6glox = 1 + glo(-6 + x) 12glo + 6glox = 1 + (-6 * glo + x * glo) 12glo + 6glox = 1 + (-6glo + glox) Solving 12glo + 6glox = 1 + -6glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6glo' to each side of the equation. 12glo + 6glo + 6glox = 1 + -6glo + 6glo + glox Combine like terms: 12glo + 6glo = 18glo 18glo + 6glox = 1 + -6glo + 6glo + glox Combine like terms: -6glo + 6glo = 0 18glo + 6glox = 1 + 0 + glox 18glo + 6glox = 1 + glox Add '-1glox' to each side of the equation. 18glo + 6glox + -1glox = 1 + glox + -1glox Combine like terms: 6glox + -1glox = 5glox 18glo + 5glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 18glo + 5glox = 1 + 0 18glo + 5glox = 1 Reorder the terms: -1 + 18glo + 5glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 18glo + 5glox = 0 The solution to this equation could not be determined.
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