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Simplifying x2 + -10x + -5 = x2 + -11x + 10 Reorder the terms: -5 + -10x + x2 = x2 + -11x + 10 Reorder the terms: -5 + -10x + x2 = 10 + -11x + x2 Add '-1x2' to each side of the equation. -5 + -10x + x2 + -1x2 = 10 + -11x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + -10x + 0 = 10 + -11x + x2 + -1x2 -5 + -10x = 10 + -11x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + -10x = 10 + -11x + 0 -5 + -10x = 10 + -11x Solving -5 + -10x = 10 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -5 + -10x + 11x = 10 + -11x + 11x Combine like terms: -10x + 11x = 1x -5 + 1x = 10 + -11x + 11x Combine like terms: -11x + 11x = 0 -5 + 1x = 10 + 0 -5 + 1x = 10 Add '5' to each side of the equation. -5 + 5 + 1x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 10 + 5 1x = 10 + 5 Combine like terms: 10 + 5 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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