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Simplifying 1 + -1log(2x + 1) = log(x + -1) Reorder the terms: 1 + -1glo(1 + 2x) = log(x + -1) 1 + (1 * -1glo + 2x * -1glo) = log(x + -1) 1 + (-1glo + -2glox) = log(x + -1) Reorder the terms: 1 + -1glo + -2glox = glo(-1 + x) 1 + -1glo + -2glox = (-1 * glo + x * glo) 1 + -1glo + -2glox = (-1glo + glox) Add 'glo' to each side of the equation. 1 + -1glo + glo + -2glox = -1glo + glo + glox Combine like terms: -1glo + glo = 0 1 + 0 + -2glox = -1glo + glo + glox 1 + -2glox = -1glo + glo + glox Combine like terms: -1glo + glo = 0 1 + -2glox = 0 + glox 1 + -2glox = glox Solving 1 + -2glox = glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox' to each side of the equation. 1 + -2glox + -1glox = glox + -1glox Combine like terms: -2glox + -1glox = -3glox 1 + -3glox = glox + -1glox Combine like terms: glox + -1glox = 0 1 + -3glox = 0 Add '-1' to each side of the equation. 1 + -1 + -3glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3glox = 0 + -1 -3glox = 0 + -1 Combine like terms: 0 + -1 = -1 -3glox = -1 Divide each side by '-3lox'. g = 0.3333333333l-1o-1x-1 Simplifying g = 0.3333333333l-1o-1x-1
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