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Simplifying 8X + -4 + 4(2X + 2) = -2(X + 4) Reorder the terms: 8X + -4 + 4(2 + 2X) = -2(X + 4) 8X + -4 + (2 * 4 + 2X * 4) = -2(X + 4) 8X + -4 + (8 + 8X) = -2(X + 4) Reorder the terms: -4 + 8 + 8X + 8X = -2(X + 4) Combine like terms: -4 + 8 = 4 4 + 8X + 8X = -2(X + 4) Combine like terms: 8X + 8X = 16X 4 + 16X = -2(X + 4) Reorder the terms: 4 + 16X = -2(4 + X) 4 + 16X = (4 * -2 + X * -2) 4 + 16X = (-8 + -2X) Solving 4 + 16X = -8 + -2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2X' to each side of the equation. 4 + 16X + 2X = -8 + -2X + 2X Combine like terms: 16X + 2X = 18X 4 + 18X = -8 + -2X + 2X Combine like terms: -2X + 2X = 0 4 + 18X = -8 + 0 4 + 18X = -8 Add '-4' to each side of the equation. 4 + -4 + 18X = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 18X = -8 + -4 18X = -8 + -4 Combine like terms: -8 + -4 = -12 18X = -12 Divide each side by '18'. X = -0.6666666667 Simplifying X = -0.6666666667
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