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Simplifying 4x + -2(4x + 2) = -52 Reorder the terms: 4x + -2(2 + 4x) = -52 4x + (2 * -2 + 4x * -2) = -52 4x + (-4 + -8x) = -52 Reorder the terms: -4 + 4x + -8x = -52 Combine like terms: 4x + -8x = -4x -4 + -4x = -52 Solving -4 + -4x = -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 + -4x = -52 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -52 + 4 -4x = -52 + 4 Combine like terms: -52 + 4 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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