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Simplifying 4(3X + 2) + -4(X + 6) = 0 Reorder the terms: 4(2 + 3X) + -4(X + 6) = 0 (2 * 4 + 3X * 4) + -4(X + 6) = 0 (8 + 12X) + -4(X + 6) = 0 Reorder the terms: 8 + 12X + -4(6 + X) = 0 8 + 12X + (6 * -4 + X * -4) = 0 8 + 12X + (-24 + -4X) = 0 Reorder the terms: 8 + -24 + 12X + -4X = 0 Combine like terms: 8 + -24 = -16 -16 + 12X + -4X = 0 Combine like terms: 12X + -4X = 8X -16 + 8X = 0 Solving -16 + 8X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 8X = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 8X = 0 + 16 8X = 0 + 16 Combine like terms: 0 + 16 = 16 8X = 16 Divide each side by '8'. X = 2 Simplifying X = 2
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