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Simplifying 2log(6)(x) = log(6)(2) + log(6)(2x + 30) Reorder the terms for easier multiplication: 2 * 6glo * x = log(6)(2) + log(6)(2x + 30) Multiply 2 * 6 12glo * x = log(6)(2) + log(6)(2x + 30) Multiply glo * x 12glox = log(6)(2) + log(6)(2x + 30) Reorder the terms for easier multiplication: 12glox = 6 * 2glo + log(6)(2x + 30) Multiply 6 * 2 12glox = 12glo + log(6)(2x + 30) Reorder the terms: 12glox = 12glo + glo * 6(30 + 2x) Reorder the terms for easier multiplication: 12glox = 12glo + 6glo(30 + 2x) 12glox = 12glo + (30 * 6glo + 2x * 6glo) 12glox = 12glo + (180glo + 12glox) Combine like terms: 12glo + 180glo = 192glo 12glox = 192glo + 12glox Add '-12glox' to each side of the equation. 12glox + -12glox = 192glo + 12glox + -12glox Combine like terms: 12glox + -12glox = 0 0 = 192glo + 12glox + -12glox Combine like terms: 12glox + -12glox = 0 0 = 192glo + 0 0 = 192glo Solving 0 = 192glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-192glo' to each side of the equation. 0 + -192glo = 192glo + -192glo Remove the zero: -192glo = 192glo + -192glo Combine like terms: 192glo + -192glo = 0 -192glo = 0 Divide each side by '-192'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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