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Simplifying -2(-2X + 4) + 3(4X + -6) = 6 Reorder the terms: -2(4 + -2X) + 3(4X + -6) = 6 (4 * -2 + -2X * -2) + 3(4X + -6) = 6 (-8 + 4X) + 3(4X + -6) = 6 Reorder the terms: -8 + 4X + 3(-6 + 4X) = 6 -8 + 4X + (-6 * 3 + 4X * 3) = 6 -8 + 4X + (-18 + 12X) = 6 Reorder the terms: -8 + -18 + 4X + 12X = 6 Combine like terms: -8 + -18 = -26 -26 + 4X + 12X = 6 Combine like terms: 4X + 12X = 16X -26 + 16X = 6 Solving -26 + 16X = 6 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 16X = 6 + 26 Combine like terms: -26 + 26 = 0 0 + 16X = 6 + 26 16X = 6 + 26 Combine like terms: 6 + 26 = 32 16X = 32 Divide each side by '16'. X = 2 Simplifying X = 2
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