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Simplifying -82 + 4x = -5x + 170 Reorder the terms: -82 + 4x = 170 + -5x Solving -82 + 4x = 170 + -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 + 4x + 5x = 170 + -5x + 5x Combine like terms: 4x + 5x = 9x -82 + 9x = 170 + -5x + 5x Combine like terms: -5x + 5x = 0 -82 + 9x = 170 + 0 -82 + 9x = 170 Add '82' to each side of the equation. -82 + 82 + 9x = 170 + 82 Combine like terms: -82 + 82 = 0 0 + 9x = 170 + 82 9x = 170 + 82 Combine like terms: 170 + 82 = 252 9x = 252 Divide each side by '9'. x = 28 Simplifying x = 28
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