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Simplifying 6(10x + 17) = 582 Reorder the terms: 6(17 + 10x) = 582 (17 * 6 + 10x * 6) = 582 (102 + 60x) = 582 Solving 102 + 60x = 582 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + 60x = 582 + -102 Combine like terms: 102 + -102 = 0 0 + 60x = 582 + -102 60x = 582 + -102 Combine like terms: 582 + -102 = 480 60x = 480 Divide each side by '60'. x = 8 Simplifying x = 8
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