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Simplifying -4(x + 8) = -16 + -8x Reorder the terms: -4(8 + x) = -16 + -8x (8 * -4 + x * -4) = -16 + -8x (-32 + -4x) = -16 + -8x Solving -32 + -4x = -16 + -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 = -16 + -8x + 8x Combine like terms: -4x + 8x = 4x -32 + 4x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 -32 + 4x = -16 + 0 -32 + 4x = -16 Add '32' to each side of the equation. -32 + 32 + 4x = -16 + 32 Combine like terms: -32 + 32 = 0 0 + 4x = -16 + 32 4x = -16 + 32 Combine like terms: -16 + 32 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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