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