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Simplifying 82 + -5x = 4x + 9 Reorder the terms: 82 + -5x = 9 + 4x Solving 82 + -5x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 82 + -5x + -4x = 9 + 4x + -4x Combine like terms: -5x + -4x = -9x 82 + -9x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 82 + -9x = 9 + 0 82 + -9x = 9 Add '-82' to each side of the equation. 82 + -82 + -9x = 9 + -82 Combine like terms: 82 + -82 = 0 0 + -9x = 9 + -82 -9x = 9 + -82 Combine like terms: 9 + -82 = -73 -9x = -73 Divide each side by '-9'. x = 8.111111111 Simplifying x = 8.111111111
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