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Simplifying 6(9x + 7) = 582 Reorder the terms: 6(7 + 9x) = 582 (7 * 6 + 9x * 6) = 582 (42 + 54x) = 582 Solving 42 + 54x = 582 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 + 54x = 582 + -42 Combine like terms: 42 + -42 = 0 0 + 54x = 582 + -42 54x = 582 + -42 Combine like terms: 582 + -42 = 540 54x = 540 Divide each side by '54'. x = 10 Simplifying x = 10
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