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