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Simplifying x2 + 6x + 9 = x2 + 2x + 1 + 24 Reorder the terms: 9 + 6x + x2 = x2 + 2x + 1 + 24 Reorder the terms: 9 + 6x + x2 = 1 + 24 + 2x + x2 Combine like terms: 1 + 24 = 25 9 + 6x + x2 = 25 + 2x + x2 Add '-1x2' to each side of the equation. 9 + 6x + x2 + -1x2 = 25 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x + 0 = 25 + 2x + x2 + -1x2 9 + 6x = 25 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x = 25 + 2x + 0 9 + 6x = 25 + 2x Solving 9 + 6x = 25 + 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. 9 + 6x + -2x = 25 + 2x + -2x Combine like terms: 6x + -2x = 4x 9 + 4x = 25 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 4x = 25 + 0 9 + 4x = 25 Add '-9' to each side of the equation. 9 + -9 + 4x = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 25 + -9 4x = 25 + -9 Combine like terms: 25 + -9 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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