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Simplifying -2(-4x + 2) + -5x + -4 = -32 Reorder the terms: -2(2 + -4x) + -5x + -4 = -32 (2 * -2 + -4x * -2) + -5x + -4 = -32 (-4 + 8x) + -5x + -4 = -32 Reorder the terms: -4 + -4 + 8x + -5x = -32 Combine like terms: -4 + -4 = -8 -8 + 8x + -5x = -32 Combine like terms: 8x + -5x = 3x -8 + 3x = -32 Solving -8 + 3x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = -32 + 8 3x = -32 + 8 Combine like terms: -32 + 8 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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