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Simplifying (6x + 2) * 32 = 0 Reorder the terms: (2 + 6x) * 32 = 0 Reorder the terms for easier multiplication: 32(2 + 6x) = 0 (2 * 32 + 6x * 32) = 0 (64 + 192x) = 0 Solving 64 + 192x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 192x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 192x = 0 + -64 192x = 0 + -64 Combine like terms: 0 + -64 = -64 192x = -64 Divide each side by '192'. x = -0.3333333333 Simplifying x = -0.3333333333
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