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Simplifying 8(-2 + -4x) + 12 = -52 (-2 * 8 + -4x * 8) + 12 = -52 (-16 + -32x) + 12 = -52 Reorder the terms: -16 + 12 + -32x = -52 Combine like terms: -16 + 12 = -4 -4 + -32x = -52 Solving -4 + -32x = -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 + -32x = -52 + 4 Combine like terms: -4 + 4 = 0 0 + -32x = -52 + 4 -32x = -52 + 4 Combine like terms: -52 + 4 = -48 -32x = -48 Divide each side by '-32'. x = 1.5 Simplifying x = 1.5
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