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Simplifying log(7) * 2x + -5 = log(7) * x + -1 Reorder the terms for easier multiplication: 7 * 2glo * x + -5 = log(7) * x + -1 Multiply 7 * 2 14glo * x + -5 = log(7) * x + -1 Multiply glo * x 14glox + -5 = log(7) * x + -1 Reorder the terms: -5 + 14glox = log(7) * x + -1 Reorder the terms for easier multiplication: -5 + 14glox = 7glo * x + -1 Multiply glo * x -5 + 14glox = 7glox + -1 Reorder the terms: -5 + 14glox = -1 + 7glox Solving -5 + 14glox = -1 + 7glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7glox' to each side of the equation. -5 + 14glox + -7glox = -1 + 7glox + -7glox Combine like terms: 14glox + -7glox = 7glox -5 + 7glox = -1 + 7glox + -7glox Combine like terms: 7glox + -7glox = 0 -5 + 7glox = -1 + 0 -5 + 7glox = -1 Add '5' to each side of the equation. -5 + 5 + 7glox = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 7glox = -1 + 5 7glox = -1 + 5 Combine like terms: -1 + 5 = 4 7glox = 4 Divide each side by '7lox'. g = 0.5714285714l-1o-1x-1 Simplifying g = 0.5714285714l-1o-1x-1
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