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Simplifying 8(-2x + 4) + 12 = -52 Reorder the terms: 8(4 + -2x) + 12 = -52 (4 * 8 + -2x * 8) + 12 = -52 (32 + -16x) + 12 = -52 Reorder the terms: 32 + 12 + -16x = -52 Combine like terms: 32 + 12 = 44 44 + -16x = -52 Solving 44 + -16x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -16x = -52 + -44 Combine like terms: 44 + -44 = 0 0 + -16x = -52 + -44 -16x = -52 + -44 Combine like terms: -52 + -44 = -96 -16x = -96 Divide each side by '-16'. x = 6 Simplifying x = 6
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