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Simplifying g(x) = (x + 9)(x + 8) Multiply g * x gx = (x + 9)(x + 8) Reorder the terms: gx = (9 + x)(x + 8) Reorder the terms: gx = (9 + x)(8 + x) Multiply (9 + x) * (8 + x) gx = (9(8 + x) + x(8 + x)) gx = ((8 * 9 + x * 9) + x(8 + x)) gx = ((72 + 9x) + x(8 + x)) gx = (72 + 9x + (8 * x + x * x)) gx = (72 + 9x + (8x + x2)) Combine like terms: 9x + 8x = 17x gx = (72 + 17x + x2) Solving gx = 72 + 17x + x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 72x-1 + 17 + x Simplifying g = 72x-1 + 17 + x Reorder the terms: g = 17 + 72x-1 + x
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