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Simplifying 4(X + 3) + 6(X + 2) = 0 Reorder the terms: 4(3 + X) + 6(X + 2) = 0 (3 * 4 + X * 4) + 6(X + 2) = 0 (12 + 4X) + 6(X + 2) = 0 Reorder the terms: 12 + 4X + 6(2 + X) = 0 12 + 4X + (2 * 6 + X * 6) = 0 12 + 4X + (12 + 6X) = 0 Reorder the terms: 12 + 12 + 4X + 6X = 0 Combine like terms: 12 + 12 = 24 24 + 4X + 6X = 0 Combine like terms: 4X + 6X = 10X 24 + 10X = 0 Solving 24 + 10X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 10X = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 10X = 0 + -24 10X = 0 + -24 Combine like terms: 0 + -24 = -24 10X = -24 Divide each side by '10'. X = -2.4 Simplifying X = -2.4
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