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Simplifying -4(3x + -5) + 2 = 82 Reorder the terms: -4(-5 + 3x) + 2 = 82 (-5 * -4 + 3x * -4) + 2 = 82 (20 + -12x) + 2 = 82 Reorder the terms: 20 + 2 + -12x = 82 Combine like terms: 20 + 2 = 22 22 + -12x = 82 Solving 22 + -12x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -12x = 82 + -22 Combine like terms: 22 + -22 = 0 0 + -12x = 82 + -22 -12x = 82 + -22 Combine like terms: 82 + -22 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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