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Simplifying 49 + x2 = x2 + 2x + 1 Reorder the terms: 49 + x2 = 1 + 2x + x2 Add '-1x2' to each side of the equation. 49 + x2 + -1x2 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 + 0 = 1 + 2x + x2 + -1x2 49 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 = 1 + 2x + 0 49 = 1 + 2x Solving 49 = 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. 49 + -2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + -2x = 1 + 0 49 + -2x = 1 Add '-49' to each side of the equation. 49 + -49 + -2x = 1 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = 1 + -49 -2x = 1 + -49 Combine like terms: 1 + -49 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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