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Simplifying log(5) * 2x + -7 = log(5) * 3x + -9 Reorder the terms for easier multiplication: 5 * 2glo * x + -7 = log(5) * 3x + -9 Multiply 5 * 2 10glo * x + -7 = log(5) * 3x + -9 Multiply glo * x 10glox + -7 = log(5) * 3x + -9 Reorder the terms: -7 + 10glox = log(5) * 3x + -9 Reorder the terms for easier multiplication: -7 + 10glox = 5 * 3glo * x + -9 Multiply 5 * 3 -7 + 10glox = 15glo * x + -9 Multiply glo * x -7 + 10glox = 15glox + -9 Reorder the terms: -7 + 10glox = -9 + 15glox Solving -7 + 10glox = -9 + 15glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15glox' to each side of the equation. -7 + 10glox + -15glox = -9 + 15glox + -15glox Combine like terms: 10glox + -15glox = -5glox -7 + -5glox = -9 + 15glox + -15glox Combine like terms: 15glox + -15glox = 0 -7 + -5glox = -9 + 0 -7 + -5glox = -9 Add '7' to each side of the equation. -7 + 7 + -5glox = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -5glox = -9 + 7 -5glox = -9 + 7 Combine like terms: -9 + 7 = -2 -5glox = -2 Divide each side by '-5lox'. g = 0.4l-1o-1x-1 Simplifying g = 0.4l-1o-1x-1
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