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Simplifying 2(X + 3) + 3(X + -1) = 7(X + 2) Reorder the terms: 2(3 + X) + 3(X + -1) = 7(X + 2) (3 * 2 + X * 2) + 3(X + -1) = 7(X + 2) (6 + 2X) + 3(X + -1) = 7(X + 2) Reorder the terms: 6 + 2X + 3(-1 + X) = 7(X + 2) 6 + 2X + (-1 * 3 + X * 3) = 7(X + 2) 6 + 2X + (-3 + 3X) = 7(X + 2) Reorder the terms: 6 + -3 + 2X + 3X = 7(X + 2) Combine like terms: 6 + -3 = 3 3 + 2X + 3X = 7(X + 2) Combine like terms: 2X + 3X = 5X 3 + 5X = 7(X + 2) Reorder the terms: 3 + 5X = 7(2 + X) 3 + 5X = (2 * 7 + X * 7) 3 + 5X = (14 + 7X) Solving 3 + 5X = 14 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. 3 + 5X + -7X = 14 + 7X + -7X Combine like terms: 5X + -7X = -2X 3 + -2X = 14 + 7X + -7X Combine like terms: 7X + -7X = 0 3 + -2X = 14 + 0 3 + -2X = 14 Add '-3' to each side of the equation. 3 + -3 + -2X = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -2X = 14 + -3 -2X = 14 + -3 Combine like terms: 14 + -3 = 11 -2X = 11 Divide each side by '-2'. X = -5.5 Simplifying X = -5.5
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