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Simplifying g(x) = (5 + -1x)(2 + -3x) Multiply g * x gx = (5 + -1x)(2 + -3x) Multiply (5 + -1x) * (2 + -3x) gx = (5(2 + -3x) + -1x * (2 + -3x)) gx = ((2 * 5 + -3x * 5) + -1x * (2 + -3x)) gx = ((10 + -15x) + -1x * (2 + -3x)) gx = (10 + -15x + (2 * -1x + -3x * -1x)) gx = (10 + -15x + (-2x + 3x2)) Combine like terms: -15x + -2x = -17x gx = (10 + -17x + 3x2) Solving gx = 10 + -17x + 3x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 10x-1 + -17 + 3x Simplifying g = 10x-1 + -17 + 3x Reorder the terms: g = -17 + 10x-1 + 3x
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