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Simplifying log(5x + 4) = 2 + log(6x + -7) Reorder the terms: glo(4 + 5x) = 2 + log(6x + -7) (4 * glo + 5x * glo) = 2 + log(6x + -7) (4glo + 5glox) = 2 + log(6x + -7) Reorder the terms: 4glo + 5glox = 2 + glo(-7 + 6x) 4glo + 5glox = 2 + (-7 * glo + 6x * glo) 4glo + 5glox = 2 + (-7glo + 6glox) Solving 4glo + 5glox = 2 + -7glo + 6glox 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. 4glo + 7glo + 5glox = 2 + -7glo + 7glo + 6glox Combine like terms: 4glo + 7glo = 11glo 11glo + 5glox = 2 + -7glo + 7glo + 6glox Combine like terms: -7glo + 7glo = 0 11glo + 5glox = 2 + 0 + 6glox 11glo + 5glox = 2 + 6glox Add '-6glox' to each side of the equation. 11glo + 5glox + -6glox = 2 + 6glox + -6glox Combine like terms: 5glox + -6glox = -1glox 11glo + -1glox = 2 + 6glox + -6glox Combine like terms: 6glox + -6glox = 0 11glo + -1glox = 2 + 0 11glo + -1glox = 2 Reorder the terms: -2 + 11glo + -1glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 11glo + -1glox = 0 The solution to this equation could not be determined.
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