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Simplifying (x + -1) + log(x + -1) = 2log(x + 2) Reorder the terms: (-1 + x) + log(x + -1) = 2log(x + 2) Remove parenthesis around (-1 + x) -1 + x + log(x + -1) = 2log(x + 2) Reorder the terms: -1 + x + glo(-1 + x) = 2log(x + 2) -1 + x + (-1 * glo + x * glo) = 2log(x + 2) -1 + x + (-1glo + glox) = 2log(x + 2) Reorder the terms: -1 + -1glo + glox + x = 2log(x + 2) Reorder the terms: -1 + -1glo + glox + x = 2glo(2 + x) -1 + -1glo + glox + x = (2 * 2glo + x * 2glo) -1 + -1glo + glox + x = (4glo + 2glox) Solving -1 + -1glo + glox + x = 4glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glo' to each side of the equation. -1 + -1glo + glox + -4glo + x = 4glo + -4glo + 2glox Reorder the terms: -1 + -1glo + -4glo + glox + x = 4glo + -4glo + 2glox Combine like terms: -1glo + -4glo = -5glo -1 + -5glo + glox + x = 4glo + -4glo + 2glox Combine like terms: 4glo + -4glo = 0 -1 + -5glo + glox + x = 0 + 2glox -1 + -5glo + glox + x = 2glox Add '-2glox' to each side of the equation. -1 + -5glo + glox + -2glox + x = 2glox + -2glox Combine like terms: glox + -2glox = -1glox -1 + -5glo + -1glox + x = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -1 + -5glo + -1glox + x = 0 Add '1' to each side of the equation. -1 + -5glo + -1glox + 1 + x = 0 + 1 Reorder the terms: -1 + 1 + -5glo + -1glox + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5glo + -1glox + x = 0 + 1 -5glo + -1glox + x = 0 + 1 Combine like terms: 0 + 1 = 1 -5glo + -1glox + x = 1 Add '-1x' to each side of the equation. -5glo + -1glox + x + -1x = 1 + -1x Combine like terms: x + -1x = 0 -5glo + -1glox + 0 = 1 + -1x -5glo + -1glox = 1 + -1x Reorder the terms: -1 + -5glo + -1glox + x = 1 + -1x + -1 + x Reorder the terms: -1 + -5glo + -1glox + x = 1 + -1 + -1x + x Combine like terms: 1 + -1 = 0 -1 + -5glo + -1glox + x = 0 + -1x + x -1 + -5glo + -1glox + x = -1x + x Combine like terms: -1x + x = 0 -1 + -5glo + -1glox + x = 0 The solution to this equation could not be determined.
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