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Simplifying -2x + -82 = 46 + -10x Reorder the terms: -82 + -2x = 46 + -10x Solving -82 + -2x = 46 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -82 + -2x + 10x = 46 + -10x + 10x Combine like terms: -2x + 10x = 8x -82 + 8x = 46 + -10x + 10x Combine like terms: -10x + 10x = 0 -82 + 8x = 46 + 0 -82 + 8x = 46 Add '82' to each side of the equation. -82 + 82 + 8x = 46 + 82 Combine like terms: -82 + 82 = 0 0 + 8x = 46 + 82 8x = 46 + 82 Combine like terms: 46 + 82 = 128 8x = 128 Divide each side by '8'. x = 16 Simplifying x = 16
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