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Simplifying 66(7x + 7) = 7(6x + 6) Reorder the terms: 66(7 + 7x) = 7(6x + 6) (7 * 66 + 7x * 66) = 7(6x + 6) (462 + 462x) = 7(6x + 6) Reorder the terms: 462 + 462x = 7(6 + 6x) 462 + 462x = (6 * 7 + 6x * 7) 462 + 462x = (42 + 42x) Solving 462 + 462x = 42 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 462 + 462x + -42x = 42 + 42x + -42x Combine like terms: 462x + -42x = 420x 462 + 420x = 42 + 42x + -42x Combine like terms: 42x + -42x = 0 462 + 420x = 42 + 0 462 + 420x = 42 Add '-462' to each side of the equation. 462 + -462 + 420x = 42 + -462 Combine like terms: 462 + -462 = 0 0 + 420x = 42 + -462 420x = 42 + -462 Combine like terms: 42 + -462 = -420 420x = -420 Divide each side by '420'. x = -1 Simplifying x = -1
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