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