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Simplifying 6(-1 + 7x) = 414 (-1 * 6 + 7x * 6) = 414 (-6 + 42x) = 414 Solving -6 + 42x = 414 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 42x = 414 + 6 Combine like terms: -6 + 6 = 0 0 + 42x = 414 + 6 42x = 414 + 6 Combine like terms: 414 + 6 = 420 42x = 420 Divide each side by '42'. x = 10 Simplifying x = 10
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