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Simplifying -2x + -38 = 82 + -6x Reorder the terms: -38 + -2x = 82 + -6x Solving -38 + -2x = 82 + -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. -38 + -2x + 6x = 82 + -6x + 6x Combine like terms: -2x + 6x = 4x -38 + 4x = 82 + -6x + 6x Combine like terms: -6x + 6x = 0 -38 + 4x = 82 + 0 -38 + 4x = 82 Add '38' to each side of the equation. -38 + 38 + 4x = 82 + 38 Combine like terms: -38 + 38 = 0 0 + 4x = 82 + 38 4x = 82 + 38 Combine like terms: 82 + 38 = 120 4x = 120 Divide each side by '4'. x = 30 Simplifying x = 30
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