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Simplifying 4(8 + -3x) = -52 (8 * 4 + -3x * 4) = -52 (32 + -12x) = -52 Solving 32 + -12x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -12x = -52 + -32 Combine like terms: 32 + -32 = 0 0 + -12x = -52 + -32 -12x = -52 + -32 Combine like terms: -52 + -32 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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