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Simplifying g(x) = 7(x + -1)(2x + -3) Multiply g * x gx = 7(x + -1)(2x + -3) Reorder the terms: gx = 7(-1 + x)(2x + -3) Reorder the terms: gx = 7(-1 + x)(-3 + 2x) Multiply (-1 + x) * (-3 + 2x) gx = 7(-1(-3 + 2x) + x(-3 + 2x)) gx = 7((-3 * -1 + 2x * -1) + x(-3 + 2x)) gx = 7((3 + -2x) + x(-3 + 2x)) gx = 7(3 + -2x + (-3 * x + 2x * x)) gx = 7(3 + -2x + (-3x + 2x2)) Combine like terms: -2x + -3x = -5x gx = 7(3 + -5x + 2x2) gx = (3 * 7 + -5x * 7 + 2x2 * 7) gx = (21 + -35x + 14x2) Solving gx = 21 + -35x + 14x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 21x-1 + -35 + 14x Simplifying g = 21x-1 + -35 + 14x Reorder the terms: g = -35 + 21x-1 + 14x
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