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Simplifying 5(4 + -2X) = -4(3X + -6) (4 * 5 + -2X * 5) = -4(3X + -6) (20 + -10X) = -4(3X + -6) Reorder the terms: 20 + -10X = -4(-6 + 3X) 20 + -10X = (-6 * -4 + 3X * -4) 20 + -10X = (24 + -12X) Solving 20 + -10X = 24 + -12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12X' to each side of the equation. 20 + -10X + 12X = 24 + -12X + 12X Combine like terms: -10X + 12X = 2X 20 + 2X = 24 + -12X + 12X Combine like terms: -12X + 12X = 0 20 + 2X = 24 + 0 20 + 2X = 24 Add '-20' to each side of the equation. 20 + -20 + 2X = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 2X = 24 + -20 2X = 24 + -20 Combine like terms: 24 + -20 = 4 2X = 4 Divide each side by '2'. X = 2 Simplifying X = 2
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