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Simplifying log(2x + 1) = log(x + -3) + (x + 5) Reorder the terms: glo(1 + 2x) = log(x + -3) + (x + 5) (1 * glo + 2x * glo) = log(x + -3) + (x + 5) (1glo + 2glox) = log(x + -3) + (x + 5) Reorder the terms: 1glo + 2glox = glo(-3 + x) + (x + 5) 1glo + 2glox = (-3 * glo + x * glo) + (x + 5) 1glo + 2glox = (-3glo + glox) + (x + 5) Reorder the terms: 1glo + 2glox = -3glo + glox + (5 + x) Remove parenthesis around (5 + x) 1glo + 2glox = -3glo + glox + 5 + x Reorder the terms: 1glo + 2glox = 5 + -3glo + glox + x Solving 1glo + 2glox = 5 + -3glo + glox + x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3glo' to each side of the equation. 1glo + 3glo + 2glox = 5 + -3glo + glox + 3glo + x Combine like terms: 1glo + 3glo = 4glo 4glo + 2glox = 5 + -3glo + glox + 3glo + x Reorder the terms: 4glo + 2glox = 5 + -3glo + 3glo + glox + x Combine like terms: -3glo + 3glo = 0 4glo + 2glox = 5 + 0 + glox + x 4glo + 2glox = 5 + glox + x Add '-1glox' to each side of the equation. 4glo + 2glox + -1glox = 5 + glox + -1glox + x Combine like terms: 2glox + -1glox = 1glox 4glo + 1glox = 5 + glox + -1glox + x Combine like terms: glox + -1glox = 0 4glo + 1glox = 5 + 0 + x 4glo + 1glox = 5 + x Reorder the terms: -5 + 4glo + 1glox + -1x = 5 + x + -5 + -1x Reorder the terms: -5 + 4glo + 1glox + -1x = 5 + -5 + x + -1x Combine like terms: 5 + -5 = 0 -5 + 4glo + 1glox + -1x = 0 + x + -1x -5 + 4glo + 1glox + -1x = x + -1x Combine like terms: x + -1x = 0 -5 + 4glo + 1glox + -1x = 0 The solution to this equation could not be determined.
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