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Simplifying -4(-2x + 5) = -32 + 6x Reorder the terms: -4(5 + -2x) = -32 + 6x (5 * -4 + -2x * -4) = -32 + 6x (-20 + 8x) = -32 + 6x Solving -20 + 8x = -32 + 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. -20 + 8x + -6x = -32 + 6x + -6x Combine like terms: 8x + -6x = 2x -20 + 2x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 2x = -32 + 0 -20 + 2x = -32 Add '20' to each side of the equation. -20 + 20 + 2x = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 2x = -32 + 20 2x = -32 + 20 Combine like terms: -32 + 20 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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