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Simplifying (2X + -4) * 2 = (3X + 4) * 3 Reorder the terms: (-4 + 2X) * 2 = (3X + 4) * 3 Reorder the terms for easier multiplication: 2(-4 + 2X) = (3X + 4) * 3 (-4 * 2 + 2X * 2) = (3X + 4) * 3 (-8 + 4X) = (3X + 4) * 3 Reorder the terms: -8 + 4X = (4 + 3X) * 3 Reorder the terms for easier multiplication: -8 + 4X = 3(4 + 3X) -8 + 4X = (4 * 3 + 3X * 3) -8 + 4X = (12 + 9X) Solving -8 + 4X = 12 + 9X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. -8 + 4X + -9X = 12 + 9X + -9X Combine like terms: 4X + -9X = -5X -8 + -5X = 12 + 9X + -9X Combine like terms: 9X + -9X = 0 -8 + -5X = 12 + 0 -8 + -5X = 12 Add '8' to each side of the equation. -8 + 8 + -5X = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -5X = 12 + 8 -5X = 12 + 8 Combine like terms: 12 + 8 = 20 -5X = 20 Divide each side by '-5'. X = -4 Simplifying X = -4
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