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Simplifying -52 = 8(-2x + -4) + 12 Reorder the terms: -52 = 8(-4 + -2x) + 12 -52 = (-4 * 8 + -2x * 8) + 12 -52 = (-32 + -16x) + 12 Reorder the terms: -52 = -32 + 12 + -16x Combine like terms: -32 + 12 = -20 -52 = -20 + -16x Solving -52 = -20 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -52 + 16x = -20 + -16x + 16x Combine like terms: -16x + 16x = 0 -52 + 16x = -20 + 0 -52 + 16x = -20 Add '52' to each side of the equation. -52 + 52 + 16x = -20 + 52 Combine like terms: -52 + 52 = 0 0 + 16x = -20 + 52 16x = -20 + 52 Combine like terms: -20 + 52 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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