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Simplifying 2(X + -3) + -2(3X + 4) = 2 Reorder the terms: 2(-3 + X) + -2(3X + 4) = 2 (-3 * 2 + X * 2) + -2(3X + 4) = 2 (-6 + 2X) + -2(3X + 4) = 2 Reorder the terms: -6 + 2X + -2(4 + 3X) = 2 -6 + 2X + (4 * -2 + 3X * -2) = 2 -6 + 2X + (-8 + -6X) = 2 Reorder the terms: -6 + -8 + 2X + -6X = 2 Combine like terms: -6 + -8 = -14 -14 + 2X + -6X = 2 Combine like terms: 2X + -6X = -4X -14 + -4X = 2 Solving -14 + -4X = 2 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 + -4X = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -4X = 2 + 14 -4X = 2 + 14 Combine like terms: 2 + 14 = 16 -4X = 16 Divide each side by '-4'. X = -4 Simplifying X = -4
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