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Simplifying x2 + -10x + 25 = x2 + -8x + 16 + 1 Reorder the terms: 25 + -10x + x2 = x2 + -8x + 16 + 1 Reorder the terms: 25 + -10x + x2 = 16 + 1 + -8x + x2 Combine like terms: 16 + 1 = 17 25 + -10x + x2 = 17 + -8x + x2 Add '-1x2' to each side of the equation. 25 + -10x + x2 + -1x2 = 17 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + -10x + 0 = 17 + -8x + x2 + -1x2 25 + -10x = 17 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + -10x = 17 + -8x + 0 25 + -10x = 17 + -8x Solving 25 + -10x = 17 + -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 = 17 + -8x + 8x Combine like terms: -10x + 8x = -2x 25 + -2x = 17 + -8x + 8x Combine like terms: -8x + 8x = 0 25 + -2x = 17 + 0 25 + -2x = 17 Add '-25' to each side of the equation. 25 + -25 + -2x = 17 + -25 Combine like terms: 25 + -25 = 0 0 + -2x = 17 + -25 -2x = 17 + -25 Combine like terms: 17 + -25 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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