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Simplifying -7(5 + 6x) = 427 (5 * -7 + 6x * -7) = 427 (-35 + -42x) = 427 Solving -35 + -42x = 427 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -42x = 427 + 35 Combine like terms: -35 + 35 = 0 0 + -42x = 427 + 35 -42x = 427 + 35 Combine like terms: 427 + 35 = 462 -42x = 462 Divide each side by '-42'. x = -11 Simplifying x = -11
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