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Simplifying -82 + -3x = 5x + 30 Reorder the terms: -82 + -3x = 30 + 5x Solving -82 + -3x = 30 + 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 + -3x + -5x = 30 + 5x + -5x Combine like terms: -3x + -5x = -8x -82 + -8x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -82 + -8x = 30 + 0 -82 + -8x = 30 Add '82' to each side of the equation. -82 + 82 + -8x = 30 + 82 Combine like terms: -82 + 82 = 0 0 + -8x = 30 + 82 -8x = 30 + 82 Combine like terms: 30 + 82 = 112 -8x = 112 Divide each side by '-8'. x = -14 Simplifying x = -14
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