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Simplifying 582 = 6(10x + 7) Reorder the terms: 582 = 6(7 + 10x) 582 = (7 * 6 + 10x * 6) 582 = (42 + 60x) Solving 582 = 42 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 582 + -60x = 42 + 60x + -60x Combine like terms: 60x + -60x = 0 582 + -60x = 42 + 0 582 + -60x = 42 Add '-582' to each side of the equation. 582 + -582 + -60x = 42 + -582 Combine like terms: 582 + -582 = 0 0 + -60x = 42 + -582 -60x = 42 + -582 Combine like terms: 42 + -582 = -540 -60x = -540 Divide each side by '-60'. x = 9 Simplifying x = 9
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