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Simplifying 6x + -82 = 8x + -122 Reorder the terms: -82 + 6x = 8x + -122 Reorder the terms: -82 + 6x = -122 + 8x Solving -82 + 6x = -122 + 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 + 6x + -8x = -122 + 8x + -8x Combine like terms: 6x + -8x = -2x -82 + -2x = -122 + 8x + -8x Combine like terms: 8x + -8x = 0 -82 + -2x = -122 + 0 -82 + -2x = -122 Add '82' to each side of the equation. -82 + 82 + -2x = -122 + 82 Combine like terms: -82 + 82 = 0 0 + -2x = -122 + 82 -2x = -122 + 82 Combine like terms: -122 + 82 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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