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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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