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Simplifying 4(2x + 6) = -52 Reorder the terms: 4(6 + 2x) = -52 (6 * 4 + 2x * 4) = -52 (24 + 8x) = -52 Solving 24 + 8x = -52 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 + 8x = -52 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = -52 + -24 8x = -52 + -24 Combine like terms: -52 + -24 = -76 8x = -76 Divide each side by '8'. x = -9.5 Simplifying x = -9.5
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