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Simplifying 8(-2x + -74) + 12 = -52 Reorder the terms: 8(-74 + -2x) + 12 = -52 (-74 * 8 + -2x * 8) + 12 = -52 (-592 + -16x) + 12 = -52 Reorder the terms: -592 + 12 + -16x = -52 Combine like terms: -592 + 12 = -580 -580 + -16x = -52 Solving -580 + -16x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '580' to each side of the equation. -580 + 580 + -16x = -52 + 580 Combine like terms: -580 + 580 = 0 0 + -16x = -52 + 580 -16x = -52 + 580 Combine like terms: -52 + 580 = 528 -16x = 528 Divide each side by '-16'. x = -33 Simplifying x = -33
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