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Simplifying x + 82 = -8x + -2 + 3x Reorder the terms: 82 + x = -8x + -2 + 3x Reorder the terms: 82 + x = -2 + -8x + 3x Combine like terms: -8x + 3x = -5x 82 + x = -2 + -5x Solving 82 + x = -2 + -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 + x + 5x = -2 + -5x + 5x Combine like terms: x + 5x = 6x 82 + 6x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 82 + 6x = -2 + 0 82 + 6x = -2 Add '-82' to each side of the equation. 82 + -82 + 6x = -2 + -82 Combine like terms: 82 + -82 = 0 0 + 6x = -2 + -82 6x = -2 + -82 Combine like terms: -2 + -82 = -84 6x = -84 Divide each side by '6'. x = -14 Simplifying x = -14
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