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Simplifying 3(X + 6) = 2(X + 8) Reorder the terms: 3(6 + X) = 2(X + 8) (6 * 3 + X * 3) = 2(X + 8) (18 + 3X) = 2(X + 8) Reorder the terms: 18 + 3X = 2(8 + X) 18 + 3X = (8 * 2 + X * 2) 18 + 3X = (16 + 2X) Solving 18 + 3X = 16 + 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 + 3X + -2X = 16 + 2X + -2X Combine like terms: 3X + -2X = 1X 18 + 1X = 16 + 2X + -2X Combine like terms: 2X + -2X = 0 18 + 1X = 16 + 0 18 + 1X = 16 Add '-18' to each side of the equation. 18 + -18 + 1X = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 1X = 16 + -18 1X = 16 + -18 Combine like terms: 16 + -18 = -2 1X = -2 Divide each side by '1'. X = -2 Simplifying X = -2
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