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