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Simplifying Log(7x + -11) = log(x + -2) + 1 Reorder the terms: goL(-11 + 7x) = log(x + -2) + 1 (-11 * goL + 7x * goL) = log(x + -2) + 1 (-11goL + 7goxL) = log(x + -2) + 1 Reorder the terms: -11goL + 7goxL = glo(-2 + x) + 1 -11goL + 7goxL = (-2 * glo + x * glo) + 1 -11goL + 7goxL = (-2glo + glox) + 1 Reorder the terms: -11goL + 7goxL = 1 + -2glo + glox Solving -11goL + 7goxL = 1 + -2glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glo' to each side of the equation. -11goL + 2glo + 7goxL = 1 + -2glo + 2glo + glox Reorder the terms: 2glo + -11goL + 7goxL = 1 + -2glo + 2glo + glox Combine like terms: -2glo + 2glo = 0 2glo + -11goL + 7goxL = 1 + 0 + glox 2glo + -11goL + 7goxL = 1 + glox Add '-1glox' to each side of the equation. 2glo + -11goL + -1glox + 7goxL = 1 + glox + -1glox Reorder the terms: 2glo + -1glox + -11goL + 7goxL = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 2glo + -1glox + -11goL + 7goxL = 1 + 0 2glo + -1glox + -11goL + 7goxL = 1 Reorder the terms: -1 + 2glo + -1glox + -11goL + 7goxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 2glo + -1glox + -11goL + 7goxL = 0 The solution to this equation could not be determined.
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