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Simplifying 3(X + 3) + -6 = X + 7 Reorder the terms: 3(3 + X) + -6 = X + 7 (3 * 3 + X * 3) + -6 = X + 7 (9 + 3X) + -6 = X + 7 Reorder the terms: 9 + -6 + 3X = X + 7 Combine like terms: 9 + -6 = 3 3 + 3X = X + 7 Reorder the terms: 3 + 3X = 7 + X Solving 3 + 3X = 7 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. 3 + 3X + -1X = 7 + X + -1X Combine like terms: 3X + -1X = 2X 3 + 2X = 7 + X + -1X Combine like terms: X + -1X = 0 3 + 2X = 7 + 0 3 + 2X = 7 Add '-3' to each side of the equation. 3 + -3 + 2X = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2X = 7 + -3 2X = 7 + -3 Combine like terms: 7 + -3 = 4 2X = 4 Divide each side by '2'. X = 2 Simplifying X = 2
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