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Simplifying log(3x + 2) = log(2 + -2x) Reorder the terms: glo(2 + 3x) = log(2 + -2x) (2 * glo + 3x * glo) = log(2 + -2x) (2glo + 3glox) = log(2 + -2x) 2glo + 3glox = (2 * glo + -2x * glo) 2glo + 3glox = (2glo + -2glox) Add '-2glo' to each side of the equation. 2glo + -2glo + 3glox = 2glo + -2glo + -2glox Combine like terms: 2glo + -2glo = 0 0 + 3glox = 2glo + -2glo + -2glox 3glox = 2glo + -2glo + -2glox Combine like terms: 2glo + -2glo = 0 3glox = 0 + -2glox 3glox = -2glox Solving 3glox = -2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glox' to each side of the equation. 3glox + 2glox = -2glox + 2glox Combine like terms: 3glox + 2glox = 5glox 5glox = -2glox + 2glox Combine like terms: -2glox + 2glox = 0 5glox = 0 Divide each side by '5'. glox = 0 Simplifying glox = 0 The solution to this equation could not be determined.
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