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Simplifying x2 + 10x + 25 = x2 + 8x + 16 Reorder the terms: 25 + 10x + x2 = x2 + 8x + 16 Reorder the terms: 25 + 10x + x2 = 16 + 8x + x2 Add '-1x2' to each side of the equation. 25 + 10x + x2 + -1x2 = 16 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + 10x + 0 = 16 + 8x + x2 + -1x2 25 + 10x = 16 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + 10x = 16 + 8x + 0 25 + 10x = 16 + 8x Solving 25 + 10x = 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. 25 + 10x + -8x = 16 + 8x + -8x Combine like terms: 10x + -8x = 2x 25 + 2x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + 2x = 16 + 0 25 + 2x = 16 Add '-25' to each side of the equation. 25 + -25 + 2x = 16 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 16 + -25 2x = 16 + -25 Combine like terms: 16 + -25 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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