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Simplifying 2(X + 8) = -1(X + 5) + -4X Reorder the terms: 2(8 + X) = -1(X + 5) + -4X (8 * 2 + X * 2) = -1(X + 5) + -4X (16 + 2X) = -1(X + 5) + -4X Reorder the terms: 16 + 2X = -1(5 + X) + -4X 16 + 2X = (5 * -1 + X * -1) + -4X 16 + 2X = (-5 + -1X) + -4X Combine like terms: -1X + -4X = -5X 16 + 2X = -5 + -5X Solving 16 + 2X = -5 + -5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5X' to each side of the equation. 16 + 2X + 5X = -5 + -5X + 5X Combine like terms: 2X + 5X = 7X 16 + 7X = -5 + -5X + 5X Combine like terms: -5X + 5X = 0 16 + 7X = -5 + 0 16 + 7X = -5 Add '-16' to each side of the equation. 16 + -16 + 7X = -5 + -16 Combine like terms: 16 + -16 = 0 0 + 7X = -5 + -16 7X = -5 + -16 Combine like terms: -5 + -16 = -21 7X = -21 Divide each side by '7'. X = -3 Simplifying X = -3
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