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Simplifying log(x + 25) = 1 + log(2x + -7) Reorder the terms: glo(25 + x) = 1 + log(2x + -7) (25 * glo + x * glo) = 1 + log(2x + -7) (25glo + glox) = 1 + log(2x + -7) Reorder the terms: 25glo + glox = 1 + glo(-7 + 2x) 25glo + glox = 1 + (-7 * glo + 2x * glo) 25glo + glox = 1 + (-7glo + 2glox) Solving 25glo + glox = 1 + -7glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '7glo' to each side of the equation. 25glo + 7glo + glox = 1 + -7glo + 7glo + 2glox Combine like terms: 25glo + 7glo = 32glo 32glo + glox = 1 + -7glo + 7glo + 2glox Combine like terms: -7glo + 7glo = 0 32glo + glox = 1 + 0 + 2glox 32glo + glox = 1 + 2glox Add '-2glox' to each side of the equation. 32glo + glox + -2glox = 1 + 2glox + -2glox Combine like terms: glox + -2glox = -1glox 32glo + -1glox = 1 + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 32glo + -1glox = 1 + 0 32glo + -1glox = 1 Reorder the terms: -1 + 32glo + -1glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 32glo + -1glox = 0 The solution to this equation could not be determined.
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