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Simplifying x2 + -6x + 9 + 25 = x2 + 2x + 1 Reorder the terms: 9 + 25 + -6x + x2 = x2 + 2x + 1 Combine like terms: 9 + 25 = 34 34 + -6x + x2 = x2 + 2x + 1 Reorder the terms: 34 + -6x + x2 = 1 + 2x + x2 Add '-1x2' to each side of the equation. 34 + -6x + x2 + -1x2 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 34 + -6x + 0 = 1 + 2x + x2 + -1x2 34 + -6x = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 34 + -6x = 1 + 2x + 0 34 + -6x = 1 + 2x Solving 34 + -6x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 34 + -6x + -2x = 1 + 2x + -2x Combine like terms: -6x + -2x = -8x 34 + -8x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 34 + -8x = 1 + 0 34 + -8x = 1 Add '-34' to each side of the equation. 34 + -34 + -8x = 1 + -34 Combine like terms: 34 + -34 = 0 0 + -8x = 1 + -34 -8x = 1 + -34 Combine like terms: 1 + -34 = -33 -8x = -33 Divide each side by '-8'. x = 4.125 Simplifying x = 4.125
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