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Simplifying log(7)(x + 2) + log(7)(x + -5) = 2 + log(7)(2) Reorder the terms: glo * 7(2 + x) + log(7)(x + -5) = 2 + log(7)(2) Reorder the terms for easier multiplication: 7glo(2 + x) + log(7)(x + -5) = 2 + log(7)(2) (2 * 7glo + x * 7glo) + log(7)(x + -5) = 2 + log(7)(2) (14glo + 7glox) + log(7)(x + -5) = 2 + log(7)(2) Reorder the terms: 14glo + 7glox + glo * 7(-5 + x) = 2 + log(7)(2) Reorder the terms for easier multiplication: 14glo + 7glox + 7glo(-5 + x) = 2 + log(7)(2) 14glo + 7glox + (-5 * 7glo + x * 7glo) = 2 + log(7)(2) 14glo + 7glox + (-35glo + 7glox) = 2 + log(7)(2) Reorder the terms: 14glo + -35glo + 7glox + 7glox = 2 + log(7)(2) Combine like terms: 14glo + -35glo = -21glo -21glo + 7glox + 7glox = 2 + log(7)(2) Combine like terms: 7glox + 7glox = 14glox -21glo + 14glox = 2 + log(7)(2) Reorder the terms for easier multiplication: -21glo + 14glox = 2 + 7 * 2glo Multiply 7 * 2 -21glo + 14glox = 2 + 14glo Solving -21glo + 14glox = 2 + 14glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14glo' to each side of the equation. -21glo + -14glo + 14glox = 2 + 14glo + -14glo Combine like terms: -21glo + -14glo = -35glo -35glo + 14glox = 2 + 14glo + -14glo Combine like terms: 14glo + -14glo = 0 -35glo + 14glox = 2 + 0 -35glo + 14glox = 2 Reorder the terms: -2 + -35glo + 14glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -35glo + 14glox = 0 The solution to this equation could not be determined.
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