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Simplifying g(x) = (5x + -2)(4 + -1x) + 3x2 + 4 Multiply g * x gx = (5x + -2)(4 + -1x) + 3x2 + 4 Reorder the terms: gx = (-2 + 5x)(4 + -1x) + 3x2 + 4 Multiply (-2 + 5x) * (4 + -1x) gx = (-2(4 + -1x) + 5x * (4 + -1x)) + 3x2 + 4 gx = ((4 * -2 + -1x * -2) + 5x * (4 + -1x)) + 3x2 + 4 gx = ((-8 + 2x) + 5x * (4 + -1x)) + 3x2 + 4 gx = (-8 + 2x + (4 * 5x + -1x * 5x)) + 3x2 + 4 gx = (-8 + 2x + (20x + -5x2)) + 3x2 + 4 Combine like terms: 2x + 20x = 22x gx = (-8 + 22x + -5x2) + 3x2 + 4 Reorder the terms: gx = -8 + 4 + 22x + -5x2 + 3x2 Combine like terms: -8 + 4 = -4 gx = -4 + 22x + -5x2 + 3x2 Combine like terms: -5x2 + 3x2 = -2x2 gx = -4 + 22x + -2x2 Solving gx = -4 + 22x + -2x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = -4x-1 + 22 + -2x Simplifying g = -4x-1 + 22 + -2x Reorder the terms: g = 22 + -4x-1 + -2x
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