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