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