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Simplifying -4x + 4(4x + -8) = 52 Reorder the terms: -4x + 4(-8 + 4x) = 52 -4x + (-8 * 4 + 4x * 4) = 52 -4x + (-32 + 16x) = 52 Reorder the terms: -32 + -4x + 16x = 52 Combine like terms: -4x + 16x = 12x -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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