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Simplifying 2(4x + 1) + 4(x + 3) = 0 Reorder the terms: 2(1 + 4x) + 4(x + 3) = 0 (1 * 2 + 4x * 2) + 4(x + 3) = 0 (2 + 8x) + 4(x + 3) = 0 Reorder the terms: 2 + 8x + 4(3 + x) = 0 2 + 8x + (3 * 4 + x * 4) = 0 2 + 8x + (12 + 4x) = 0 Reorder the terms: 2 + 12 + 8x + 4x = 0 Combine like terms: 2 + 12 = 14 14 + 8x + 4x = 0 Combine like terms: 8x + 4x = 12x 14 + 12x = 0 Solving 14 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 12x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = 0 + -14 12x = 0 + -14 Combine like terms: 0 + -14 = -14 12x = -14 Divide each side by '12'. x = -1.166666667 Simplifying x = -1.166666667
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