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Simplifying log(3x + 2) = log(x + -4) + 1 Reorder the terms: glo(2 + 3x) = log(x + -4) + 1 (2 * glo + 3x * glo) = log(x + -4) + 1 (2glo + 3glox) = log(x + -4) + 1 Reorder the terms: 2glo + 3glox = glo(-4 + x) + 1 2glo + 3glox = (-4 * glo + x * glo) + 1 2glo + 3glox = (-4glo + glox) + 1 Reorder the terms: 2glo + 3glox = 1 + -4glo + glox Solving 2glo + 3glox = 1 + -4glo + glox 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. 2glo + 4glo + 3glox = 1 + -4glo + 4glo + glox Combine like terms: 2glo + 4glo = 6glo 6glo + 3glox = 1 + -4glo + 4glo + glox Combine like terms: -4glo + 4glo = 0 6glo + 3glox = 1 + 0 + glox 6glo + 3glox = 1 + glox Add '-1glox' to each side of the equation. 6glo + 3glox + -1glox = 1 + glox + -1glox Combine like terms: 3glox + -1glox = 2glox 6glo + 2glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 6glo + 2glox = 1 + 0 6glo + 2glox = 1 Reorder the terms: -1 + 6glo + 2glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 6glo + 2glox = 0 The solution to this equation could not be determined.
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