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Simplifying x2 + 8x + 16 = x2 + -16 Reorder the terms: 16 + 8x + x2 = x2 + -16 Reorder the terms: 16 + 8x + x2 = -16 + x2 Add '-1x2' to each side of the equation. 16 + 8x + x2 + -1x2 = -16 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 16 + 8x + 0 = -16 + x2 + -1x2 16 + 8x = -16 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 16 + 8x = -16 + 0 16 + 8x = -16 Solving 16 + 8x = -16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8x = -16 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = -16 + -16 8x = -16 + -16 Combine like terms: -16 + -16 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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