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Simplifying x2 + x + 100 = x2 + 17x + 66 Reorder the terms: 100 + x + x2 = x2 + 17x + 66 Reorder the terms: 100 + x + x2 = 66 + 17x + x2 Add '-1x2' to each side of the equation. 100 + x + x2 + -1x2 = 66 + 17x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 100 + x + 0 = 66 + 17x + x2 + -1x2 100 + x = 66 + 17x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 100 + x = 66 + 17x + 0 100 + x = 66 + 17x Solving 100 + x = 66 + 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. 100 + x + -17x = 66 + 17x + -17x Combine like terms: x + -17x = -16x 100 + -16x = 66 + 17x + -17x Combine like terms: 17x + -17x = 0 100 + -16x = 66 + 0 100 + -16x = 66 Add '-100' to each side of the equation. 100 + -100 + -16x = 66 + -100 Combine like terms: 100 + -100 = 0 0 + -16x = 66 + -100 -16x = 66 + -100 Combine like terms: 66 + -100 = -34 -16x = -34 Divide each side by '-16'. x = 2.125 Simplifying x = 2.125
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