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Simplifying log(2x + 6) = 1 + log(x + -6) Reorder the terms: glo(6 + 2x) = 1 + log(x + -6) (6 * glo + 2x * glo) = 1 + log(x + -6) (6glo + 2glox) = 1 + log(x + -6) Reorder the terms: 6glo + 2glox = 1 + glo(-6 + x) 6glo + 2glox = 1 + (-6 * glo + x * glo) 6glo + 2glox = 1 + (-6glo + glox) Solving 6glo + 2glox = 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. 6glo + 6glo + 2glox = 1 + -6glo + 6glo + glox Combine like terms: 6glo + 6glo = 12glo 12glo + 2glox = 1 + -6glo + 6glo + glox Combine like terms: -6glo + 6glo = 0 12glo + 2glox = 1 + 0 + glox 12glo + 2glox = 1 + glox Add '-1glox' to each side of the equation. 12glo + 2glox + -1glox = 1 + glox + -1glox Combine like terms: 2glox + -1glox = 1glox 12glo + 1glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 12glo + 1glox = 1 + 0 12glo + 1glox = 1 Reorder the terms: -1 + 12glo + 1glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 12glo + 1glox = 0 The solution to this equation could not be determined.
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