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Simplifying x2 + -12x + -18G(X) = X + 1 Multiply G * X x2 + -12x + -18GX = X + 1 Reorder the terms: -18GX + -12x + x2 = X + 1 Reorder the terms: -18GX + -12x + x2 = 1 + X Solving -18GX + -12x + x2 = 1 + X Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '12x' to each side of the equation. -18GX + -12x + 12x + x2 = 1 + X + 12x Combine like terms: -12x + 12x = 0 -18GX + 0 + x2 = 1 + X + 12x -18GX + x2 = 1 + X + 12x Add '-1x2' to each side of the equation. -18GX + x2 + -1x2 = 1 + X + 12x + -1x2 Combine like terms: x2 + -1x2 = 0 -18GX + 0 = 1 + X + 12x + -1x2 -18GX = 1 + X + 12x + -1x2 Divide each side by '-18X'. G = -0.05555555556X-1 + -0.05555555556 + -0.6666666667xX-1 + 0.05555555556x2X-1 Simplifying G = -0.05555555556X-1 + -0.05555555556 + -0.6666666667xX-1 + 0.05555555556x2X-1 Reorder the terms: G = -0.05555555556 + -0.05555555556X-1 + -0.6666666667xX-1 + 0.05555555556x2X-1
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