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Simplifying 3(4X + 2) + -4(6 + -2X) = 2(9 + -1X) Reorder the terms: 3(2 + 4X) + -4(6 + -2X) = 2(9 + -1X) (2 * 3 + 4X * 3) + -4(6 + -2X) = 2(9 + -1X) (6 + 12X) + -4(6 + -2X) = 2(9 + -1X) 6 + 12X + (6 * -4 + -2X * -4) = 2(9 + -1X) 6 + 12X + (-24 + 8X) = 2(9 + -1X) Reorder the terms: 6 + -24 + 12X + 8X = 2(9 + -1X) Combine like terms: 6 + -24 = -18 -18 + 12X + 8X = 2(9 + -1X) Combine like terms: 12X + 8X = 20X -18 + 20X = 2(9 + -1X) -18 + 20X = (9 * 2 + -1X * 2) -18 + 20X = (18 + -2X) Solving -18 + 20X = 18 + -2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2X' to each side of the equation. -18 + 20X + 2X = 18 + -2X + 2X Combine like terms: 20X + 2X = 22X -18 + 22X = 18 + -2X + 2X Combine like terms: -2X + 2X = 0 -18 + 22X = 18 + 0 -18 + 22X = 18 Add '18' to each side of the equation. -18 + 18 + 22X = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 22X = 18 + 18 22X = 18 + 18 Combine like terms: 18 + 18 = 36 22X = 36 Divide each side by '22'. X = 1.636363636 Simplifying X = 1.636363636
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