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Simplifying 8x + -6(4 + x) = -32 8x + (4 * -6 + x * -6) = -32 8x + (-24 + -6x) = -32 Reorder the terms: -24 + 8x + -6x = -32 Combine like terms: 8x + -6x = 2x -24 + 2x = -32 Solving -24 + 2x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 2x = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -32 + 24 2x = -32 + 24 Combine like terms: -32 + 24 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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