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