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Simplifying 2x + 4(x + -8) = -52 Reorder the terms: 2x + 4(-8 + x) = -52 2x + (-8 * 4 + x * 4) = -52 2x + (-32 + 4x) = -52 Reorder the terms: -32 + 2x + 4x = -52 Combine like terms: 2x + 4x = 6x -32 + 6x = -52 Solving -32 + 6x = -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 + 6x = -52 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = -52 + 32 6x = -52 + 32 Combine like terms: -52 + 32 = -20 6x = -20 Divide each side by '6'. x = -3.333333333 Simplifying x = -3.333333333
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