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Simplifying -12x + -38 = 82 + -8x Reorder the terms: -38 + -12x = 82 + -8x Solving -38 + -12x = 82 + -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. -38 + -12x + 8x = 82 + -8x + 8x Combine like terms: -12x + 8x = -4x -38 + -4x = 82 + -8x + 8x Combine like terms: -8x + 8x = 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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