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Simplifying 8x(2c + 4) = 0 Reorder the terms: 8x(4 + 2c) = 0 (4 * 8x + 2c * 8x) = 0 Reorder the terms: (16cx + 32x) = 0 (16cx + 32x) = 0 Solving 16cx + 32x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-32x' to each side of the equation. 16cx + 32x + -32x = 0 + -32x Combine like terms: 32x + -32x = 0 16cx + 0 = 0 + -32x 16cx = 0 + -32x Remove the zero: 16cx = -32x Divide each side by '16x'. c = -2 Simplifying c = -2
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