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Simplifying 2log[3](x + -2) + -1log[3](2x + -7) = 1 Reorder the terms: 2glo * 3(-2 + x) + -1log[3](2x + -7) = 1 Reorder the terms for easier multiplication: 2 * 3glo(-2 + x) + -1log[3](2x + -7) = 1 Multiply 2 * 3 6glo(-2 + x) + -1log[3](2x + -7) = 1 (-2 * 6glo + x * 6glo) + -1log[3](2x + -7) = 1 (-12glo + 6glox) + -1log[3](2x + -7) = 1 Reorder the terms: -12glo + 6glox + -1glo * 3(-7 + 2x) = 1 Reorder the terms for easier multiplication: -12glo + 6glox + -1 * 3glo(-7 + 2x) = 1 Multiply -1 * 3 -12glo + 6glox + -3glo(-7 + 2x) = 1 -12glo + 6glox + (-7 * -3glo + 2x * -3glo) = 1 -12glo + 6glox + (21glo + -6glox) = 1 Reorder the terms: -12glo + 21glo + 6glox + -6glox = 1 Combine like terms: -12glo + 21glo = 9glo 9glo + 6glox + -6glox = 1 Combine like terms: 6glox + -6glox = 0 9glo + 0 = 1 9glo = 1 Solving 9glo = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '9lo'. g = 0.1111111111l-1o-1 Simplifying g = 0.1111111111l-1o-1
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