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Simplifying x2 + 5x + -6 = x2 + -7x + 10 Reorder the terms: -6 + 5x + x2 = x2 + -7x + 10 Reorder the terms: -6 + 5x + x2 = 10 + -7x + x2 Add '-1x2' to each side of the equation. -6 + 5x + x2 + -1x2 = 10 + -7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 5x + 0 = 10 + -7x + x2 + -1x2 -6 + 5x = 10 + -7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 5x = 10 + -7x + 0 -6 + 5x = 10 + -7x Solving -6 + 5x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -6 + 5x + 7x = 10 + -7x + 7x Combine like terms: 5x + 7x = 12x -6 + 12x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 12x = 10 + 0 -6 + 12x = 10 Add '6' to each side of the equation. -6 + 6 + 12x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 10 + 6 12x = 10 + 6 Combine like terms: 10 + 6 = 16 12x = 16 Divide each side by '12'. x = 1.333333333 Simplifying x = 1.333333333
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