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Simplifying G = (x + -3)(x + 3) + (3x + 1)(3x + -1) Reorder the terms: G = (-3 + x)(x + 3) + (3x + 1)(3x + -1) Reorder the terms: G = (-3 + x)(3 + x) + (3x + 1)(3x + -1) Multiply (-3 + x) * (3 + x) G = (-3(3 + x) + x(3 + x)) + (3x + 1)(3x + -1) G = ((3 * -3 + x * -3) + x(3 + x)) + (3x + 1)(3x + -1) G = ((-9 + -3x) + x(3 + x)) + (3x + 1)(3x + -1) G = (-9 + -3x + (3 * x + x * x)) + (3x + 1)(3x + -1) G = (-9 + -3x + (3x + x2)) + (3x + 1)(3x + -1) Combine like terms: -3x + 3x = 0 G = (-9 + 0 + x2) + (3x + 1)(3x + -1) G = (-9 + x2) + (3x + 1)(3x + -1) Reorder the terms: G = -9 + x2 + (1 + 3x)(3x + -1) Reorder the terms: G = -9 + x2 + (1 + 3x)(-1 + 3x) Multiply (1 + 3x) * (-1 + 3x) G = -9 + x2 + (1(-1 + 3x) + 3x * (-1 + 3x)) G = -9 + x2 + ((-1 * 1 + 3x * 1) + 3x * (-1 + 3x)) G = -9 + x2 + ((-1 + 3x) + 3x * (-1 + 3x)) G = -9 + x2 + (-1 + 3x + (-1 * 3x + 3x * 3x)) G = -9 + x2 + (-1 + 3x + (-3x + 9x2)) Combine like terms: 3x + -3x = 0 G = -9 + x2 + (-1 + 0 + 9x2) G = -9 + x2 + (-1 + 9x2) Reorder the terms: G = -9 + -1 + x2 + 9x2 Combine like terms: -9 + -1 = -10 G = -10 + x2 + 9x2 Combine like terms: x2 + 9x2 = 10x2 G = -10 + 10x2 Solving G = -10 + 10x2 Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Simplifying G = -10 + 10x2
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