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Simplifying x(x + -9) + 17 = x(x + 8) Reorder the terms: x(-9 + x) + 17 = x(x + 8) (-9 * x + x * x) + 17 = x(x + 8) (-9x + x2) + 17 = x(x + 8) Reorder the terms: 17 + -9x + x2 = x(x + 8) Reorder the terms: 17 + -9x + x2 = x(8 + x) 17 + -9x + x2 = (8 * x + x * x) 17 + -9x + x2 = (8x + x2) Add '-1x2' to each side of the equation. 17 + -9x + x2 + -1x2 = 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 17 + -9x + 0 = 8x + x2 + -1x2 17 + -9x = 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 17 + -9x = 8x + 0 17 + -9x = 8x Solving 17 + -9x = 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. 17 + -9x + -8x = 8x + -8x Combine like terms: -9x + -8x = -17x 17 + -17x = 8x + -8x Combine like terms: 8x + -8x = 0 17 + -17x = 0 Add '-17' to each side of the equation. 17 + -17 + -17x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -17x = 0 + -17 -17x = 0 + -17 Combine like terms: 0 + -17 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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