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Simplifying log(7x + 1) = log(x + -2) + 1 Reorder the terms: glo(1 + 7x) = log(x + -2) + 1 (1 * glo + 7x * glo) = log(x + -2) + 1 (1glo + 7glox) = log(x + -2) + 1 Reorder the terms: 1glo + 7glox = glo(-2 + x) + 1 1glo + 7glox = (-2 * glo + x * glo) + 1 1glo + 7glox = (-2glo + glox) + 1 Reorder the terms: 1glo + 7glox = 1 + -2glo + glox Solving 1glo + 7glox = 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. 1glo + 2glo + 7glox = 1 + -2glo + 2glo + glox Combine like terms: 1glo + 2glo = 3glo 3glo + 7glox = 1 + -2glo + 2glo + glox Combine like terms: -2glo + 2glo = 0 3glo + 7glox = 1 + 0 + glox 3glo + 7glox = 1 + glox Add '-1glox' to each side of the equation. 3glo + 7glox + -1glox = 1 + glox + -1glox Combine like terms: 7glox + -1glox = 6glox 3glo + 6glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 3glo + 6glox = 1 + 0 3glo + 6glox = 1 Reorder the terms: -1 + 3glo + 6glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 3glo + 6glox = 0 The solution to this equation could not be determined.
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