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Simplifying 1 + log[3](7x + -9) = log[3](2x2) Reorder the terms: 1 + glo * 3(-9 + 7x) = log[3](2x2) Reorder the terms for easier multiplication: 1 + 3glo(-9 + 7x) = log[3](2x2) 1 + (-9 * 3glo + 7x * 3glo) = log[3](2x2) 1 + (-27glo + 21glox) = log[3](2x2) Remove parenthesis around (2x2) 1 + -27glo + 21glox = glo * 3 * 2x2 Reorder the terms for easier multiplication: 1 + -27glo + 21glox = 3 * 2glo * x2 Multiply 3 * 2 1 + -27glo + 21glox = 6glo * x2 Multiply glo * x2 1 + -27glo + 21glox = 6glox2 Solving 1 + -27glo + 21glox = 6glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glox2' to each side of the equation. 1 + -27glo + 21glox + -6glox2 = 6glox2 + -6glox2 Combine like terms: 6glox2 + -6glox2 = 0 1 + -27glo + 21glox + -6glox2 = 0 Add '-1' to each side of the equation. 1 + -27glo + 21glox + -1 + -6glox2 = 0 + -1 Reorder the terms: 1 + -1 + -27glo + 21glox + -6glox2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -27glo + 21glox + -6glox2 = 0 + -1 -27glo + 21glox + -6glox2 = 0 + -1 Combine like terms: 0 + -1 = -1 -27glo + 21glox + -6glox2 = -1 Reorder the terms: 1 + -27glo + 21glox + -6glox2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -27glo + 21glox + -6glox2 = 0 The solution to this equation could not be determined.
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