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Simplifying 2(4 + X) = -1(X + 7) (4 * 2 + X * 2) = -1(X + 7) (8 + 2X) = -1(X + 7) Reorder the terms: 8 + 2X = -1(7 + X) 8 + 2X = (7 * -1 + X * -1) 8 + 2X = (-7 + -1X) Solving 8 + 2X = -7 + -1X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'X' to each side of the equation. 8 + 2X + X = -7 + -1X + X Combine like terms: 2X + X = 3X 8 + 3X = -7 + -1X + X Combine like terms: -1X + X = 0 8 + 3X = -7 + 0 8 + 3X = -7 Add '-8' to each side of the equation. 8 + -8 + 3X = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 3X = -7 + -8 3X = -7 + -8 Combine like terms: -7 + -8 = -15 3X = -15 Divide each side by '3'. X = -5 Simplifying X = -5
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