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Simplifying -11(x + 6) + 582 = 30 + 24 Reorder the terms: -11(6 + x) + 582 = 30 + 24 (6 * -11 + x * -11) + 582 = 30 + 24 (-66 + -11x) + 582 = 30 + 24 Reorder the terms: -66 + 582 + -11x = 30 + 24 Combine like terms: -66 + 582 = 516 516 + -11x = 30 + 24 Combine like terms: 30 + 24 = 54 516 + -11x = 54 Solving 516 + -11x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-516' to each side of the equation. 516 + -516 + -11x = 54 + -516 Combine like terms: 516 + -516 = 0 0 + -11x = 54 + -516 -11x = 54 + -516 Combine like terms: 54 + -516 = -462 -11x = -462 Divide each side by '-11'. x = 42 Simplifying x = 42
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