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Simplifying (x + 5) + (x2 + 2x + 4) = x2 + 3x + 9 Reorder the terms: (5 + x) + (x2 + 2x + 4) = x2 + 3x + 9 Remove parenthesis around (5 + x) 5 + x + (x2 + 2x + 4) = x2 + 3x + 9 Reorder the terms: 5 + x + (4 + 2x + x2) = x2 + 3x + 9 Remove parenthesis around (4 + 2x + x2) 5 + x + 4 + 2x + x2 = x2 + 3x + 9 Reorder the terms: 5 + 4 + x + 2x + x2 = x2 + 3x + 9 Combine like terms: 5 + 4 = 9 9 + x + 2x + x2 = x2 + 3x + 9 Combine like terms: x + 2x = 3x 9 + 3x + x2 = x2 + 3x + 9 Reorder the terms: 9 + 3x + x2 = 9 + 3x + x2 Add '-9' to each side of the equation. 9 + 3x + -9 + x2 = 9 + 3x + -9 + x2 Reorder the terms: 9 + -9 + 3x + x2 = 9 + 3x + -9 + x2 Combine like terms: 9 + -9 = 0 0 + 3x + x2 = 9 + 3x + -9 + x2 3x + x2 = 9 + 3x + -9 + x2 Reorder the terms: 3x + x2 = 9 + -9 + 3x + x2 Combine like terms: 9 + -9 = 0 3x + x2 = 0 + 3x + x2 3x + x2 = 3x + x2 Add '-3x' to each side of the equation. 3x + -3x + x2 = 3x + -3x + x2 Combine like terms: 3x + -3x = 0 0 + x2 = 3x + -3x + x2 x2 = 3x + -3x + x2 Combine like terms: 3x + -3x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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