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Simplifying log(7)(x + 7) + -1log(7)(x + -2) = 3 Reorder the terms: glo * 7(7 + x) + -1log(7)(x + -2) = 3 Reorder the terms for easier multiplication: 7glo(7 + x) + -1log(7)(x + -2) = 3 (7 * 7glo + x * 7glo) + -1log(7)(x + -2) = 3 (49glo + 7glox) + -1log(7)(x + -2) = 3 Reorder the terms: 49glo + 7glox + -1glo * 7(-2 + x) = 3 Reorder the terms for easier multiplication: 49glo + 7glox + -1 * 7glo(-2 + x) = 3 Multiply -1 * 7 49glo + 7glox + -7glo(-2 + x) = 3 49glo + 7glox + (-2 * -7glo + x * -7glo) = 3 49glo + 7glox + (14glo + -7glox) = 3 Reorder the terms: 49glo + 14glo + 7glox + -7glox = 3 Combine like terms: 49glo + 14glo = 63glo 63glo + 7glox + -7glox = 3 Combine like terms: 7glox + -7glox = 0 63glo + 0 = 3 63glo = 3 Solving 63glo = 3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '63lo'. g = 0.04761904762l-1o-1 Simplifying g = 0.04761904762l-1o-1
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