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