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Simplifying -6x + -82 = -11x + 58 Reorder the terms: -82 + -6x = -11x + 58 Reorder the terms: -82 + -6x = 58 + -11x Solving -82 + -6x = 58 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -82 + -6x + 11x = 58 + -11x + 11x Combine like terms: -6x + 11x = 5x -82 + 5x = 58 + -11x + 11x Combine like terms: -11x + 11x = 0 -82 + 5x = 58 + 0 -82 + 5x = 58 Add '82' to each side of the equation. -82 + 82 + 5x = 58 + 82 Combine like terms: -82 + 82 = 0 0 + 5x = 58 + 82 5x = 58 + 82 Combine like terms: 58 + 82 = 140 5x = 140 Divide each side by '5'. x = 28 Simplifying x = 28
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