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Simplifying 6(10x + -13) = 582 Reorder the terms: 6(-13 + 10x) = 582 (-13 * 6 + 10x * 6) = 582 (-78 + 60x) = 582 Solving -78 + 60x = 582 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 60x = 582 + 78 Combine like terms: -78 + 78 = 0 0 + 60x = 582 + 78 60x = 582 + 78 Combine like terms: 582 + 78 = 660 60x = 660 Divide each side by '60'. x = 11 Simplifying x = 11
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