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Simplifying 2(3X + 1) + -3(X + 7) = 2 Reorder the terms: 2(1 + 3X) + -3(X + 7) = 2 (1 * 2 + 3X * 2) + -3(X + 7) = 2 (2 + 6X) + -3(X + 7) = 2 Reorder the terms: 2 + 6X + -3(7 + X) = 2 2 + 6X + (7 * -3 + X * -3) = 2 2 + 6X + (-21 + -3X) = 2 Reorder the terms: 2 + -21 + 6X + -3X = 2 Combine like terms: 2 + -21 = -19 -19 + 6X + -3X = 2 Combine like terms: 6X + -3X = 3X -19 + 3X = 2 Solving -19 + 3X = 2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 3X = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 3X = 2 + 19 3X = 2 + 19 Combine like terms: 2 + 19 = 21 3X = 21 Divide each side by '3'. X = 7 Simplifying X = 7
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