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Simplifying 3(2X + 1) + 2(X + 6) = 0 Reorder the terms: 3(1 + 2X) + 2(X + 6) = 0 (1 * 3 + 2X * 3) + 2(X + 6) = 0 (3 + 6X) + 2(X + 6) = 0 Reorder the terms: 3 + 6X + 2(6 + X) = 0 3 + 6X + (6 * 2 + X * 2) = 0 3 + 6X + (12 + 2X) = 0 Reorder the terms: 3 + 12 + 6X + 2X = 0 Combine like terms: 3 + 12 = 15 15 + 6X + 2X = 0 Combine like terms: 6X + 2X = 8X 15 + 8X = 0 Solving 15 + 8X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 8X = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 8X = 0 + -15 8X = 0 + -15 Combine like terms: 0 + -15 = -15 8X = -15 Divide each side by '8'. X = -1.875 Simplifying X = -1.875
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