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Simplifying log(3) * 4x + 10 = log(3) * x + 1 Reorder the terms for easier multiplication: 3 * 4glo * x + 10 = log(3) * x + 1 Multiply 3 * 4 12glo * x + 10 = log(3) * x + 1 Multiply glo * x 12glox + 10 = log(3) * x + 1 Reorder the terms: 10 + 12glox = log(3) * x + 1 Reorder the terms for easier multiplication: 10 + 12glox = 3glo * x + 1 Multiply glo * x 10 + 12glox = 3glox + 1 Reorder the terms: 10 + 12glox = 1 + 3glox Solving 10 + 12glox = 1 + 3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glox' to each side of the equation. 10 + 12glox + -3glox = 1 + 3glox + -3glox Combine like terms: 12glox + -3glox = 9glox 10 + 9glox = 1 + 3glox + -3glox Combine like terms: 3glox + -3glox = 0 10 + 9glox = 1 + 0 10 + 9glox = 1 Add '-10' to each side of the equation. 10 + -10 + 9glox = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 9glox = 1 + -10 9glox = 1 + -10 Combine like terms: 1 + -10 = -9 9glox = -9 Divide each side by '9lox'. g = -1l-1o-1x-1 Simplifying g = -1l-1o-1x-1
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