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Simplifying x2 + 24 = x2 + 1 + 2x + -25 Reorder the terms: 24 + x2 = x2 + 1 + 2x + -25 Reorder the terms: 24 + x2 = 1 + -25 + 2x + x2 Combine like terms: 1 + -25 = -24 24 + x2 = -24 + 2x + x2 Add '-1x2' to each side of the equation. 24 + x2 + -1x2 = -24 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 + 0 = -24 + 2x + x2 + -1x2 24 = -24 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 24 = -24 + 2x + 0 24 = -24 + 2x Solving 24 = -24 + 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. 24 + -2x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -2x = -24 + 0 24 + -2x = -24 Add '-24' to each side of the equation. 24 + -24 + -2x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = -24 + -24 -2x = -24 + -24 Combine like terms: -24 + -24 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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