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Simplifying x2 + -14x + 49 + -4 = x2 + 2x + 1 Reorder the terms: 49 + -4 + -14x + x2 = x2 + 2x + 1 Combine like terms: 49 + -4 = 45 45 + -14x + x2 = x2 + 2x + 1 Reorder the terms: 45 + -14x + x2 = 1 + 2x + x2 Add '-1x2' to each side of the equation. 45 + -14x + x2 + -1x2 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 45 + -14x + 0 = 1 + 2x + x2 + -1x2 45 + -14x = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 45 + -14x = 1 + 2x + 0 45 + -14x = 1 + 2x Solving 45 + -14x = 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. 45 + -14x + -2x = 1 + 2x + -2x Combine like terms: -14x + -2x = -16x 45 + -16x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -16x = 1 + 0 45 + -16x = 1 Add '-45' to each side of the equation. 45 + -45 + -16x = 1 + -45 Combine like terms: 45 + -45 = 0 0 + -16x = 1 + -45 -16x = 1 + -45 Combine like terms: 1 + -45 = -44 -16x = -44 Divide each side by '-16'. x = 2.75 Simplifying x = 2.75
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