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Simplifying -4(x + 2) = 8x + 16 Reorder the terms: -4(2 + x) = 8x + 16 (2 * -4 + x * -4) = 8x + 16 (-8 + -4x) = 8x + 16 Reorder the terms: -8 + -4x = 16 + 8x Solving -8 + -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. -8 + -4x + -8x = 16 + 8x + -8x Combine like terms: -4x + -8x = -12x -8 + -12x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -12x = 16 + 0 -8 + -12x = 16 Add '8' to each side of the equation. -8 + 8 + -12x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -12x = 16 + 8 -12x = 16 + 8 Combine like terms: 16 + 8 = 24 -12x = 24 Divide each side by '-12'. x = -2 Simplifying x = -2
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