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Simplifying g(x) = (4 + -1x)(2 + 7x) Multiply g * x gx = (4 + -1x)(2 + 7x) Multiply (4 + -1x) * (2 + 7x) gx = (4(2 + 7x) + -1x * (2 + 7x)) gx = ((2 * 4 + 7x * 4) + -1x * (2 + 7x)) gx = ((8 + 28x) + -1x * (2 + 7x)) gx = (8 + 28x + (2 * -1x + 7x * -1x)) gx = (8 + 28x + (-2x + -7x2)) Combine like terms: 28x + -2x = 26x gx = (8 + 26x + -7x2) Solving gx = 8 + 26x + -7x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 8x-1 + 26 + -7x Simplifying g = 8x-1 + 26 + -7x Reorder the terms: g = 26 + 8x-1 + -7x
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