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Simplifying X2 + 5X + -7 = 11 + X2 + -2X Reorder the terms: -7 + 5X + X2 = 11 + X2 + -2X Reorder the terms: -7 + 5X + X2 = 11 + -2X + X2 Add '-1X2' to each side of the equation. -7 + 5X + X2 + -1X2 = 11 + -2X + X2 + -1X2 Combine like terms: X2 + -1X2 = 0 -7 + 5X + 0 = 11 + -2X + X2 + -1X2 -7 + 5X = 11 + -2X + X2 + -1X2 Combine like terms: X2 + -1X2 = 0 -7 + 5X = 11 + -2X + 0 -7 + 5X = 11 + -2X Solving -7 + 5X = 11 + -2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2X' to each side of the equation. -7 + 5X + 2X = 11 + -2X + 2X Combine like terms: 5X + 2X = 7X -7 + 7X = 11 + -2X + 2X Combine like terms: -2X + 2X = 0 -7 + 7X = 11 + 0 -7 + 7X = 11 Add '7' to each side of the equation. -7 + 7 + 7X = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 7X = 11 + 7 7X = 11 + 7 Combine like terms: 11 + 7 = 18 7X = 18 Divide each side by '7'. X = 2.571428571 Simplifying X = 2.571428571
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