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Simplifying x2 + 5x + -11 = x2 + -1x + 1 Reorder the terms: -11 + 5x + x2 = x2 + -1x + 1 Reorder the terms: -11 + 5x + x2 = 1 + -1x + x2 Add '-1x2' to each side of the equation. -11 + 5x + x2 + -1x2 = 1 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -11 + 5x + 0 = 1 + -1x + x2 + -1x2 -11 + 5x = 1 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -11 + 5x = 1 + -1x + 0 -11 + 5x = 1 + -1x Solving -11 + 5x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -11 + 5x + x = 1 + -1x + x Combine like terms: 5x + x = 6x -11 + 6x = 1 + -1x + x Combine like terms: -1x + x = 0 -11 + 6x = 1 + 0 -11 + 6x = 1 Add '11' to each side of the equation. -11 + 11 + 6x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 1 + 11 6x = 1 + 11 Combine like terms: 1 + 11 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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