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Simplifying 2 + log(3x + 1) = log(2x + 1) Reorder the terms: 2 + glo(1 + 3x) = log(2x + 1) 2 + (1 * glo + 3x * glo) = log(2x + 1) 2 + (1glo + 3glox) = log(2x + 1) Reorder the terms: 2 + 1glo + 3glox = glo(1 + 2x) 2 + 1glo + 3glox = (1 * glo + 2x * glo) 2 + 1glo + 3glox = (1glo + 2glox) Add '-1glo' to each side of the equation. 2 + 1glo + -1glo + 3glox = 1glo + -1glo + 2glox Combine like terms: 1glo + -1glo = 0 2 + 0 + 3glox = 1glo + -1glo + 2glox 2 + 3glox = 1glo + -1glo + 2glox Combine like terms: 1glo + -1glo = 0 2 + 3glox = 0 + 2glox 2 + 3glox = 2glox Solving 2 + 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. 2 + 3glox + -2glox = 2glox + -2glox Combine like terms: 3glox + -2glox = 1glox 2 + 1glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 2 + 1glox = 0 Add '-2' to each side of the equation. 2 + -2 + 1glox = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1glox = 0 + -2 1glox = 0 + -2 Combine like terms: 0 + -2 = -2 1glox = -2 Divide each side by '1lox'. g = -2l-1o-1x-1 Simplifying g = -2l-1o-1x-1
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