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Simplifying x2 + 5 = 9 + -6x + x2 Reorder the terms: 5 + x2 = 9 + -6x + x2 Add '-1x2' to each side of the equation. 5 + x2 + -1x2 = 9 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + 0 = 9 + -6x + x2 + -1x2 5 = 9 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 = 9 + -6x + 0 5 = 9 + -6x Solving 5 = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 5 + 6x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 6x = 9 + 0 5 + 6x = 9 Add '-5' to each side of the equation. 5 + -5 + 6x = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 9 + -5 6x = 9 + -5 Combine like terms: 9 + -5 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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