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Simplifying 6(-7 + 7x) = 378 (-7 * 6 + 7x * 6) = 378 (-42 + 42x) = 378 Solving -42 + 42x = 378 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 42x = 378 + 42 Combine like terms: -42 + 42 = 0 0 + 42x = 378 + 42 42x = 378 + 42 Combine like terms: 378 + 42 = 420 42x = 420 Divide each side by '42'. x = 10 Simplifying x = 10
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