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Simplifying log(9)(2x + 7) + -1log(9)(x + -1) = log(9)(x + -7) Reorder the terms: glo * 9(7 + 2x) + -1log(9)(x + -1) = log(9)(x + -7) Reorder the terms for easier multiplication: 9glo(7 + 2x) + -1log(9)(x + -1) = log(9)(x + -7) (7 * 9glo + 2x * 9glo) + -1log(9)(x + -1) = log(9)(x + -7) (63glo + 18glox) + -1log(9)(x + -1) = log(9)(x + -7) Reorder the terms: 63glo + 18glox + -1glo * 9(-1 + x) = log(9)(x + -7) Reorder the terms for easier multiplication: 63glo + 18glox + -1 * 9glo(-1 + x) = log(9)(x + -7) Multiply -1 * 9 63glo + 18glox + -9glo(-1 + x) = log(9)(x + -7) 63glo + 18glox + (-1 * -9glo + x * -9glo) = log(9)(x + -7) 63glo + 18glox + (9glo + -9glox) = log(9)(x + -7) Reorder the terms: 63glo + 9glo + 18glox + -9glox = log(9)(x + -7) Combine like terms: 63glo + 9glo = 72glo 72glo + 18glox + -9glox = log(9)(x + -7) Combine like terms: 18glox + -9glox = 9glox 72glo + 9glox = log(9)(x + -7) Reorder the terms: 72glo + 9glox = glo * 9(-7 + x) Reorder the terms for easier multiplication: 72glo + 9glox = 9glo(-7 + x) 72glo + 9glox = (-7 * 9glo + x * 9glo) 72glo + 9glox = (-63glo + 9glox) Add '-9glox' to each side of the equation. 72glo + 9glox + -9glox = -63glo + 9glox + -9glox Combine like terms: 9glox + -9glox = 0 72glo + 0 = -63glo + 9glox + -9glox 72glo = -63glo + 9glox + -9glox Combine like terms: 9glox + -9glox = 0 72glo = -63glo + 0 72glo = -63glo Solving 72glo = -63glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '63glo' to each side of the equation. 72glo + 63glo = -63glo + 63glo Combine like terms: 72glo + 63glo = 135glo 135glo = -63glo + 63glo Combine like terms: -63glo + 63glo = 0 135glo = 0 Divide each side by '135'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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