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Simplifying 9x + -34 = 5x + 82 Reorder the terms: -34 + 9x = 5x + 82 Reorder the terms: -34 + 9x = 82 + 5x Solving -34 + 9x = 82 + 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. -34 + 9x + -5x = 82 + 5x + -5x Combine like terms: 9x + -5x = 4x -34 + 4x = 82 + 5x + -5x Combine like terms: 5x + -5x = 0 -34 + 4x = 82 + 0 -34 + 4x = 82 Add '34' to each side of the equation. -34 + 34 + 4x = 82 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = 82 + 34 4x = 82 + 34 Combine like terms: 82 + 34 = 116 4x = 116 Divide each side by '4'. x = 29 Simplifying x = 29
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