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Simplifying -2 + -2(3X + -8) = -1(1 + -9X) + -1(X + -3) Reorder the terms: -2 + -2(-8 + 3X) = -1(1 + -9X) + -1(X + -3) -2 + (-8 * -2 + 3X * -2) = -1(1 + -9X) + -1(X + -3) -2 + (16 + -6X) = -1(1 + -9X) + -1(X + -3) Combine like terms: -2 + 16 = 14 14 + -6X = -1(1 + -9X) + -1(X + -3) 14 + -6X = (1 * -1 + -9X * -1) + -1(X + -3) 14 + -6X = (-1 + 9X) + -1(X + -3) Reorder the terms: 14 + -6X = -1 + 9X + -1(-3 + X) 14 + -6X = -1 + 9X + (-3 * -1 + X * -1) 14 + -6X = -1 + 9X + (3 + -1X) Reorder the terms: 14 + -6X = -1 + 3 + 9X + -1X Combine like terms: -1 + 3 = 2 14 + -6X = 2 + 9X + -1X Combine like terms: 9X + -1X = 8X 14 + -6X = 2 + 8X Solving 14 + -6X = 2 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. 14 + -6X + -8X = 2 + 8X + -8X Combine like terms: -6X + -8X = -14X 14 + -14X = 2 + 8X + -8X Combine like terms: 8X + -8X = 0 14 + -14X = 2 + 0 14 + -14X = 2 Add '-14' to each side of the equation. 14 + -14 + -14X = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -14X = 2 + -14 -14X = 2 + -14 Combine like terms: 2 + -14 = -12 -14X = -12 Divide each side by '-14'. X = 0.8571428571 Simplifying X = 0.8571428571
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