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