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Simplifying 4(-2x + 1) = -52 Reorder the terms: 4(1 + -2x) = -52 (1 * 4 + -2x * 4) = -52 (4 + -8x) = -52 Solving 4 + -8x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -8x = -52 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -52 + -4 -8x = -52 + -4 Combine like terms: -52 + -4 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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