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Simplifying -2x + -82 = 8x + 32 Reorder the terms: -82 + -2x = 8x + 32 Reorder the terms: -82 + -2x = 32 + 8x Solving -82 + -2x = 32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -82 + -2x + -8x = 32 + 8x + -8x Combine like terms: -2x + -8x = -10x -82 + -10x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 -82 + -10x = 32 + 0 -82 + -10x = 32 Add '82' to each side of the equation. -82 + 82 + -10x = 32 + 82 Combine like terms: -82 + 82 = 0 0 + -10x = 32 + 82 -10x = 32 + 82 Combine like terms: 32 + 82 = 114 -10x = 114 Divide each side by '-10'. x = -11.4 Simplifying x = -11.4
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