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Simplifying log(5x + 7) = 1 + log(x + -6) Reorder the terms: glo(7 + 5x) = 1 + log(x + -6) (7 * glo + 5x * glo) = 1 + log(x + -6) (7glo + 5glox) = 1 + log(x + -6) Reorder the terms: 7glo + 5glox = 1 + glo(-6 + x) 7glo + 5glox = 1 + (-6 * glo + x * glo) 7glo + 5glox = 1 + (-6glo + glox) Solving 7glo + 5glox = 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. 7glo + 6glo + 5glox = 1 + -6glo + 6glo + glox Combine like terms: 7glo + 6glo = 13glo 13glo + 5glox = 1 + -6glo + 6glo + glox Combine like terms: -6glo + 6glo = 0 13glo + 5glox = 1 + 0 + glox 13glo + 5glox = 1 + glox Add '-1glox' to each side of the equation. 13glo + 5glox + -1glox = 1 + glox + -1glox Combine like terms: 5glox + -1glox = 4glox 13glo + 4glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 13glo + 4glox = 1 + 0 13glo + 4glox = 1 Reorder the terms: -1 + 13glo + 4glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 13glo + 4glox = 0 The solution to this equation could not be determined.
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