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Simplifying 8x3 + 12x + 100logx = O(x3) Reorder the terms: 100glox + 12x + 8x3 = O(x3) Multiply O * x3 100glox + 12x + 8x3 = x3O Solving 100glox + 12x + 8x3 = x3O Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12x' to each side of the equation. 100glox + 12x + -12x + 8x3 = -12x + x3O Combine like terms: 12x + -12x = 0 100glox + 0 + 8x3 = -12x + x3O 100glox + 8x3 = -12x + x3O Add '-8x3' to each side of the equation. 100glox + 8x3 + -8x3 = -12x + -8x3 + x3O Combine like terms: 8x3 + -8x3 = 0 100glox + 0 = -12x + -8x3 + x3O 100glox = -12x + -8x3 + x3O Divide each side by '100lox'. g = -0.12l-1o-1 + -0.08l-1o-1x2 + 0.01l-1o-1x2O Simplifying g = -0.12l-1o-1 + -0.08l-1o-1x2 + 0.01l-1o-1x2O
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