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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 Combine like terms: 12 + -52 = -40 -32 + -16x = -40 Solving -32 + -16x = -40 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 + -16x = -40 + 32 Combine like terms: -32 + 32 = 0 0 + -16x = -40 + 32 -16x = -40 + 32 Combine like terms: -40 + 32 = -8 -16x = -8 Divide each side by '-16'. x = 0.5 Simplifying x = 0.5
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