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Simplifying -5(4x + -4) + 2 = -38 + -8x Reorder the terms: -5(-4 + 4x) + 2 = -38 + -8x (-4 * -5 + 4x * -5) + 2 = -38 + -8x (20 + -20x) + 2 = -38 + -8x Reorder the terms: 20 + 2 + -20x = -38 + -8x Combine like terms: 20 + 2 = 22 22 + -20x = -38 + -8x Solving 22 + -20x = -38 + -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. 22 + -20x + 8x = -38 + -8x + 8x Combine like terms: -20x + 8x = -12x 22 + -12x = -38 + -8x + 8x Combine like terms: -8x + 8x = 0 22 + -12x = -38 + 0 22 + -12x = -38 Add '-22' to each side of the equation. 22 + -22 + -12x = -38 + -22 Combine like terms: 22 + -22 = 0 0 + -12x = -38 + -22 -12x = -38 + -22 Combine like terms: -38 + -22 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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