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Simplifying 3(2x + 8) = -32 + 8 Reorder the terms: 3(8 + 2x) = -32 + 8 (8 * 3 + 2x * 3) = -32 + 8 (24 + 6x) = -32 + 8 Combine like terms: -32 + 8 = -24 24 + 6x = -24 Solving 24 + 6x = -24 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 + 6x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = -24 + -24 6x = -24 + -24 Combine like terms: -24 + -24 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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