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Simplifying 6(5x + 13) = 378 Reorder the terms: 6(13 + 5x) = 378 (13 * 6 + 5x * 6) = 378 (78 + 30x) = 378 Solving 78 + 30x = 378 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 30x = 378 + -78 Combine like terms: 78 + -78 = 0 0 + 30x = 378 + -78 30x = 378 + -78 Combine like terms: 378 + -78 = 300 30x = 300 Divide each side by '30'. x = 10 Simplifying x = 10
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