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Simplifying 2 + log(3)(2x + 5) + -1log(3) * x = 4 Reorder the terms: 2 + glo * 3(5 + 2x) + -1log(3) * x = 4 Reorder the terms for easier multiplication: 2 + 3glo(5 + 2x) + -1log(3) * x = 4 2 + (5 * 3glo + 2x * 3glo) + -1log(3) * x = 4 2 + (15glo + 6glox) + -1log(3) * x = 4 Reorder the terms for easier multiplication: 2 + 15glo + 6glox + -1 * 3glo * x = 4 Multiply -1 * 3 2 + 15glo + 6glox + -3glo * x = 4 Multiply glo * x 2 + 15glo + 6glox + -3glox = 4 Combine like terms: 6glox + -3glox = 3glox 2 + 15glo + 3glox = 4 Solving 2 + 15glo + 3glox = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 15glo + -2 + 3glox = 4 + -2 Reorder the terms: 2 + -2 + 15glo + 3glox = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 15glo + 3glox = 4 + -2 15glo + 3glox = 4 + -2 Combine like terms: 4 + -2 = 2 15glo + 3glox = 2 Reorder the terms: -2 + 15glo + 3glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 15glo + 3glox = 0 The solution to this equation could not be determined.
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