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Simplifying x2 + 14x + 49 = x2 + 4x + 4 Reorder the terms: 49 + 14x + x2 = x2 + 4x + 4 Reorder the terms: 49 + 14x + x2 = 4 + 4x + x2 Add '-1x2' to each side of the equation. 49 + 14x + x2 + -1x2 = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 + 14x + 0 = 4 + 4x + x2 + -1x2 49 + 14x = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 + 14x = 4 + 4x + 0 49 + 14x = 4 + 4x Solving 49 + 14x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 49 + 14x + -4x = 4 + 4x + -4x Combine like terms: 14x + -4x = 10x 49 + 10x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 49 + 10x = 4 + 0 49 + 10x = 4 Add '-49' to each side of the equation. 49 + -49 + 10x = 4 + -49 Combine like terms: 49 + -49 = 0 0 + 10x = 4 + -49 10x = 4 + -49 Combine like terms: 4 + -49 = -45 10x = -45 Divide each side by '10'. x = -4.5 Simplifying x = -4.5
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