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Simplifying 2(3X + 2) = 8(9 + -2X) Reorder the terms: 2(2 + 3X) = 8(9 + -2X) (2 * 2 + 3X * 2) = 8(9 + -2X) (4 + 6X) = 8(9 + -2X) 4 + 6X = (9 * 8 + -2X * 8) 4 + 6X = (72 + -16X) Solving 4 + 6X = 72 + -16X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '16X' to each side of the equation. 4 + 6X + 16X = 72 + -16X + 16X Combine like terms: 6X + 16X = 22X 4 + 22X = 72 + -16X + 16X Combine like terms: -16X + 16X = 0 4 + 22X = 72 + 0 4 + 22X = 72 Add '-4' to each side of the equation. 4 + -4 + 22X = 72 + -4 Combine like terms: 4 + -4 = 0 0 + 22X = 72 + -4 22X = 72 + -4 Combine like terms: 72 + -4 = 68 22X = 68 Divide each side by '22'. X = 3.090909091 Simplifying X = 3.090909091
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