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Simplifying -4(x + 8) = 8 + -8x Reorder the terms: -4(8 + x) = 8 + -8x (8 * -4 + x * -4) = 8 + -8x (-32 + -4x) = 8 + -8x Solving -32 + -4x = 8 + -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 + -4x + 8x = 8 + -8x + 8x Combine like terms: -4x + 8x = 4x -32 + 4x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 -32 + 4x = 8 + 0 -32 + 4x = 8 Add '32' to each side of the equation. -32 + 32 + 4x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = 8 + 32 4x = 8 + 32 Combine like terms: 8 + 32 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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