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Simplifying -1x + -82 = 90 + -5x Reorder the terms: -82 + -1x = 90 + -5x Solving -82 + -1x = 90 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -82 + -1x + 5x = 90 + -5x + 5x Combine like terms: -1x + 5x = 4x -82 + 4x = 90 + -5x + 5x Combine like terms: -5x + 5x = 0 -82 + 4x = 90 + 0 -82 + 4x = 90 Add '82' to each side of the equation. -82 + 82 + 4x = 90 + 82 Combine like terms: -82 + 82 = 0 0 + 4x = 90 + 82 4x = 90 + 82 Combine like terms: 90 + 82 = 172 4x = 172 Divide each side by '4'. x = 43 Simplifying x = 43
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