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Simplifying x2 + -7x + -8 = x2 + 4x + 4 Reorder the terms: -8 + -7x + x2 = x2 + 4x + 4 Reorder the terms: -8 + -7x + x2 = 4 + 4x + x2 Add '-1x2' to each side of the equation. -8 + -7x + x2 + -1x2 = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + -7x + 0 = 4 + 4x + x2 + -1x2 -8 + -7x = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + -7x = 4 + 4x + 0 -8 + -7x = 4 + 4x Solving -8 + -7x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + -7x + -4x = 4 + 4x + -4x Combine like terms: -7x + -4x = -11x -8 + -11x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -11x = 4 + 0 -8 + -11x = 4 Add '8' to each side of the equation. -8 + 8 + -11x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -11x = 4 + 8 -11x = 4 + 8 Combine like terms: 4 + 8 = 12 -11x = 12 Divide each side by '-11'. x = -1.090909091 Simplifying x = -1.090909091
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