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Simplifying 2X + -4(X + 3) = 5(3 + -1X) Reorder the terms: 2X + -4(3 + X) = 5(3 + -1X) 2X + (3 * -4 + X * -4) = 5(3 + -1X) 2X + (-12 + -4X) = 5(3 + -1X) Reorder the terms: -12 + 2X + -4X = 5(3 + -1X) Combine like terms: 2X + -4X = -2X -12 + -2X = 5(3 + -1X) -12 + -2X = (3 * 5 + -1X * 5) -12 + -2X = (15 + -5X) Solving -12 + -2X = 15 + -5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5X' to each side of the equation. -12 + -2X + 5X = 15 + -5X + 5X Combine like terms: -2X + 5X = 3X -12 + 3X = 15 + -5X + 5X Combine like terms: -5X + 5X = 0 -12 + 3X = 15 + 0 -12 + 3X = 15 Add '12' to each side of the equation. -12 + 12 + 3X = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 3X = 15 + 12 3X = 15 + 12 Combine like terms: 15 + 12 = 27 3X = 27 Divide each side by '3'. X = 9 Simplifying X = 9
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