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Simplifying log(x + 7) = 1 + -1log(x + 8) Reorder the terms: glo(7 + x) = 1 + -1log(x + 8) (7 * glo + x * glo) = 1 + -1log(x + 8) (7glo + glox) = 1 + -1log(x + 8) Reorder the terms: 7glo + glox = 1 + -1glo(8 + x) 7glo + glox = 1 + (8 * -1glo + x * -1glo) 7glo + glox = 1 + (-8glo + -1glox) Solving 7glo + glox = 1 + -8glo + -1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '8glo' to each side of the equation. 7glo + 8glo + glox = 1 + -8glo + 8glo + -1glox Combine like terms: 7glo + 8glo = 15glo 15glo + glox = 1 + -8glo + 8glo + -1glox Combine like terms: -8glo + 8glo = 0 15glo + glox = 1 + 0 + -1glox 15glo + glox = 1 + -1glox Add 'glox' to each side of the equation. 15glo + glox + glox = 1 + -1glox + glox Combine like terms: glox + glox = 2glox 15glo + 2glox = 1 + -1glox + glox Combine like terms: -1glox + glox = 0 15glo + 2glox = 1 + 0 15glo + 2glox = 1 Reorder the terms: -1 + 15glo + 2glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 15glo + 2glox = 0 The solution to this equation could not be determined.
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