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Simplifying 3(2X + 3) + -2(3X + 2) = -3(X + 2) + 2 Reorder the terms: 3(3 + 2X) + -2(3X + 2) = -3(X + 2) + 2 (3 * 3 + 2X * 3) + -2(3X + 2) = -3(X + 2) + 2 (9 + 6X) + -2(3X + 2) = -3(X + 2) + 2 Reorder the terms: 9 + 6X + -2(2 + 3X) = -3(X + 2) + 2 9 + 6X + (2 * -2 + 3X * -2) = -3(X + 2) + 2 9 + 6X + (-4 + -6X) = -3(X + 2) + 2 Reorder the terms: 9 + -4 + 6X + -6X = -3(X + 2) + 2 Combine like terms: 9 + -4 = 5 5 + 6X + -6X = -3(X + 2) + 2 Combine like terms: 6X + -6X = 0 5 + 0 = -3(X + 2) + 2 5 = -3(X + 2) + 2 Reorder the terms: 5 = -3(2 + X) + 2 5 = (2 * -3 + X * -3) + 2 5 = (-6 + -3X) + 2 Reorder the terms: 5 = -6 + 2 + -3X Combine like terms: -6 + 2 = -4 5 = -4 + -3X Solving 5 = -4 + -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. 5 + 3X = -4 + -3X + 3X Combine like terms: -3X + 3X = 0 5 + 3X = -4 + 0 5 + 3X = -4 Add '-5' to each side of the equation. 5 + -5 + 3X = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 3X = -4 + -5 3X = -4 + -5 Combine like terms: -4 + -5 = -9 3X = -9 Divide each side by '3'. X = -3 Simplifying X = -3
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