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Simplifying 2x + -82 = -6x + 38 Reorder the terms: -82 + 2x = -6x + 38 Reorder the terms: -82 + 2x = 38 + -6x Solving -82 + 2x = 38 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -82 + 2x + 6x = 38 + -6x + 6x Combine like terms: 2x + 6x = 8x -82 + 8x = 38 + -6x + 6x Combine like terms: -6x + 6x = 0 -82 + 8x = 38 + 0 -82 + 8x = 38 Add '82' to each side of the equation. -82 + 82 + 8x = 38 + 82 Combine like terms: -82 + 82 = 0 0 + 8x = 38 + 82 8x = 38 + 82 Combine like terms: 38 + 82 = 120 8x = 120 Divide each side by '8'. x = 15 Simplifying x = 15
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