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Simplifying 6(7x + -14) = 378 Reorder the terms: 6(-14 + 7x) = 378 (-14 * 6 + 7x * 6) = 378 (-84 + 42x) = 378 Solving -84 + 42x = 378 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 42x = 378 + 84 Combine like terms: -84 + 84 = 0 0 + 42x = 378 + 84 42x = 378 + 84 Combine like terms: 378 + 84 = 462 42x = 462 Divide each side by '42'. x = 11 Simplifying x = 11
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