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