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Simplifying 6(5x + 12) = 402 Reorder the terms: 6(12 + 5x) = 402 (12 * 6 + 5x * 6) = 402 (72 + 30x) = 402 Solving 72 + 30x = 402 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 30x = 402 + -72 Combine like terms: 72 + -72 = 0 0 + 30x = 402 + -72 30x = 402 + -72 Combine like terms: 402 + -72 = 330 30x = 330 Divide each side by '30'. x = 11 Simplifying x = 11
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