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Simplifying -82 + 4x = -2x + 92 Reorder the terms: -82 + 4x = 92 + -2x Solving -82 + 4x = 92 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -82 + 4x + 2x = 92 + -2x + 2x Combine like terms: 4x + 2x = 6x -82 + 6x = 92 + -2x + 2x Combine like terms: -2x + 2x = 0 -82 + 6x = 92 + 0 -82 + 6x = 92 Add '82' to each side of the equation. -82 + 82 + 6x = 92 + 82 Combine like terms: -82 + 82 = 0 0 + 6x = 92 + 82 6x = 92 + 82 Combine like terms: 92 + 82 = 174 6x = 174 Divide each side by '6'. x = 29 Simplifying x = 29
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