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