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Simplifying 5(X + -4) = 2(X + 8) Reorder the terms: 5(-4 + X) = 2(X + 8) (-4 * 5 + X * 5) = 2(X + 8) (-20 + 5X) = 2(X + 8) Reorder the terms: -20 + 5X = 2(8 + X) -20 + 5X = (8 * 2 + X * 2) -20 + 5X = (16 + 2X) Solving -20 + 5X = 16 + 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. -20 + 5X + -2X = 16 + 2X + -2X Combine like terms: 5X + -2X = 3X -20 + 3X = 16 + 2X + -2X Combine like terms: 2X + -2X = 0 -20 + 3X = 16 + 0 -20 + 3X = 16 Add '20' to each side of the equation. -20 + 20 + 3X = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 3X = 16 + 20 3X = 16 + 20 Combine like terms: 16 + 20 = 36 3X = 36 Divide each side by '3'. X = 12 Simplifying X = 12
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