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Simplifying 2(X + 2) = 5(X + -4) Reorder the terms: 2(2 + X) = 5(X + -4) (2 * 2 + X * 2) = 5(X + -4) (4 + 2X) = 5(X + -4) Reorder the terms: 4 + 2X = 5(-4 + X) 4 + 2X = (-4 * 5 + X * 5) 4 + 2X = (-20 + 5X) Solving 4 + 2X = -20 + 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. 4 + 2X + -5X = -20 + 5X + -5X Combine like terms: 2X + -5X = -3X 4 + -3X = -20 + 5X + -5X Combine like terms: 5X + -5X = 0 4 + -3X = -20 + 0 4 + -3X = -20 Add '-4' to each side of the equation. 4 + -4 + -3X = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -3X = -20 + -4 -3X = -20 + -4 Combine like terms: -20 + -4 = -24 -3X = -24 Divide each side by '-3'. X = 8 Simplifying X = 8
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