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