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Simplifying log(x + 7) = 1 + -1log(x + -6) Reorder the terms: glo(7 + x) = 1 + -1log(x + -6) (7 * glo + x * glo) = 1 + -1log(x + -6) (7glo + glox) = 1 + -1log(x + -6) Reorder the terms: 7glo + glox = 1 + -1glo(-6 + x) 7glo + glox = 1 + (-6 * -1glo + x * -1glo) 7glo + glox = 1 + (6glo + -1glox) Solving 7glo + glox = 1 + 6glo + -1glox 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. 7glo + -6glo + glox = 1 + 6glo + -6glo + -1glox Combine like terms: 7glo + -6glo = 1glo 1glo + glox = 1 + 6glo + -6glo + -1glox Combine like terms: 6glo + -6glo = 0 1glo + glox = 1 + 0 + -1glox 1glo + glox = 1 + -1glox Add 'glox' to each side of the equation. 1glo + glox + glox = 1 + -1glox + glox Combine like terms: glox + glox = 2glox 1glo + 2glox = 1 + -1glox + glox Combine like terms: -1glox + glox = 0 1glo + 2glox = 1 + 0 1glo + 2glox = 1 Reorder the terms: -1 + 1glo + 2glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 1glo + 2glox = 0 The solution to this equation could not be determined.
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