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Simplifying 5(X + 2) + -2(X + -2) = 0 Reorder the terms: 5(2 + X) + -2(X + -2) = 0 (2 * 5 + X * 5) + -2(X + -2) = 0 (10 + 5X) + -2(X + -2) = 0 Reorder the terms: 10 + 5X + -2(-2 + X) = 0 10 + 5X + (-2 * -2 + X * -2) = 0 10 + 5X + (4 + -2X) = 0 Reorder the terms: 10 + 4 + 5X + -2X = 0 Combine like terms: 10 + 4 = 14 14 + 5X + -2X = 0 Combine like terms: 5X + -2X = 3X 14 + 3X = 0 Solving 14 + 3X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3X = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3X = 0 + -14 3X = 0 + -14 Combine like terms: 0 + -14 = -14 3X = -14 Divide each side by '3'. X = -4.666666667 Simplifying X = -4.666666667
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