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Simplifying -4(x + 6) = 52 Reorder the terms: -4(6 + x) = 52 (6 * -4 + x * -4) = 52 (-24 + -4x) = 52 Solving -24 + -4x = 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 + -4x = 52 + 24 Combine like terms: -24 + 24 = 0 0 + -4x = 52 + 24 -4x = 52 + 24 Combine like terms: 52 + 24 = 76 -4x = 76 Divide each side by '-4'. x = -19 Simplifying x = -19
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