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Simplifying log(7x + 7) = 1 + log(x + -7) Reorder the terms: glo(7 + 7x) = 1 + log(x + -7) (7 * glo + 7x * glo) = 1 + log(x + -7) (7glo + 7glox) = 1 + log(x + -7) Reorder the terms: 7glo + 7glox = 1 + glo(-7 + x) 7glo + 7glox = 1 + (-7 * glo + x * glo) 7glo + 7glox = 1 + (-7glo + glox) Solving 7glo + 7glox = 1 + -7glo + glox 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. 7glo + 7glo + 7glox = 1 + -7glo + 7glo + glox Combine like terms: 7glo + 7glo = 14glo 14glo + 7glox = 1 + -7glo + 7glo + glox Combine like terms: -7glo + 7glo = 0 14glo + 7glox = 1 + 0 + glox 14glo + 7glox = 1 + glox Add '-1glox' to each side of the equation. 14glo + 7glox + -1glox = 1 + glox + -1glox Combine like terms: 7glox + -1glox = 6glox 14glo + 6glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 14glo + 6glox = 1 + 0 14glo + 6glox = 1 Reorder the terms: -1 + 14glo + 6glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 14glo + 6glox = 0 The solution to this equation could not be determined.
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