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Simplifying -82 + 3x = -1x + 34 Reorder the terms: -82 + 3x = 34 + -1x Solving -82 + 3x = 34 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -82 + 3x + x = 34 + -1x + x Combine like terms: 3x + x = 4x -82 + 4x = 34 + -1x + x Combine like terms: -1x + x = 0 -82 + 4x = 34 + 0 -82 + 4x = 34 Add '82' to each side of the equation. -82 + 82 + 4x = 34 + 82 Combine like terms: -82 + 82 = 0 0 + 4x = 34 + 82 4x = 34 + 82 Combine like terms: 34 + 82 = 116 4x = 116 Divide each side by '4'. x = 29 Simplifying x = 29
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