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Simplifying x2 + 6x + -7 = x2 + 1 Reorder the terms: -7 + 6x + x2 = x2 + 1 Reorder the terms: -7 + 6x + x2 = 1 + x2 Add '-1x2' to each side of the equation. -7 + 6x + x2 + -1x2 = 1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + 6x + 0 = 1 + x2 + -1x2 -7 + 6x = 1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -7 + 6x = 1 + 0 -7 + 6x = 1 Solving -7 + 6x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 1 + 7 6x = 1 + 7 Combine like terms: 1 + 7 = 8 6x = 8 Divide each side by '6'. x = 1.333333333 Simplifying x = 1.333333333
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