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Simplifying -11(x + 5) + 580 = 18 + 12 Reorder the terms: -11(5 + x) + 580 = 18 + 12 (5 * -11 + x * -11) + 580 = 18 + 12 (-55 + -11x) + 580 = 18 + 12 Reorder the terms: -55 + 580 + -11x = 18 + 12 Combine like terms: -55 + 580 = 525 525 + -11x = 18 + 12 Combine like terms: 18 + 12 = 30 525 + -11x = 30 Solving 525 + -11x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-525' to each side of the equation. 525 + -525 + -11x = 30 + -525 Combine like terms: 525 + -525 = 0 0 + -11x = 30 + -525 -11x = 30 + -525 Combine like terms: 30 + -525 = -495 -11x = -495 Divide each side by '-11'. x = 45 Simplifying x = 45
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