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Simplifying 7 + log(8x) = 25 + -2log(x) Remove parenthesis around (8x) 7 + glo * 8x = 25 + -2log(x) Reorder the terms for easier multiplication: 7 + 8glo * x = 25 + -2log(x) Multiply glo * x 7 + 8glox = 25 + -2log(x) Multiply glo * x 7 + 8glox = 25 + -2glox Solving 7 + 8glox = 25 + -2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glox' to each side of the equation. 7 + 8glox + 2glox = 25 + -2glox + 2glox Combine like terms: 8glox + 2glox = 10glox 7 + 10glox = 25 + -2glox + 2glox Combine like terms: -2glox + 2glox = 0 7 + 10glox = 25 + 0 7 + 10glox = 25 Add '-7' to each side of the equation. 7 + -7 + 10glox = 25 + -7 Combine like terms: 7 + -7 = 0 0 + 10glox = 25 + -7 10glox = 25 + -7 Combine like terms: 25 + -7 = 18 10glox = 18 Divide each side by '10lox'. g = 1.8l-1o-1x-1 Simplifying g = 1.8l-1o-1x-1
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