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Simplifying -6(7x + 7) = -462 Reorder the terms: -6(7 + 7x) = -462 (7 * -6 + 7x * -6) = -462 (-42 + -42x) = -462 Solving -42 + -42x = -462 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 = -462 + 42 Combine like terms: -42 + 42 = 0 0 + -42x = -462 + 42 -42x = -462 + 42 Combine like terms: -462 + 42 = -420 -42x = -420 Divide each side by '-42'. x = 10 Simplifying x = 10
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