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Simplifying x2 + 16x + 64 = 17x + x2 Reorder the terms: 64 + 16x + x2 = 17x + x2 Add '-1x2' to each side of the equation. 64 + 16x + x2 + -1x2 = 17x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 64 + 16x + 0 = 17x + x2 + -1x2 64 + 16x = 17x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 64 + 16x = 17x + 0 64 + 16x = 17x Solving 64 + 16x = 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 64 + 16x + -17x = 17x + -17x Combine like terms: 16x + -17x = -1x 64 + -1x = 17x + -17x Combine like terms: 17x + -17x = 0 64 + -1x = 0 Add '-64' to each side of the equation. 64 + -64 + -1x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -1x = 0 + -64 -1x = 0 + -64 Combine like terms: 0 + -64 = -64 -1x = -64 Divide each side by '-1'. x = 64 Simplifying x = 64
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