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Simplifying (2x2 + 5x + 3) + (8x3 + 6x + 5) = 8x3 + 2x2 + 11x + 8 Reorder the terms: (3 + 5x + 2x2) + (8x3 + 6x + 5) = 8x3 + 2x2 + 11x + 8 Remove parenthesis around (3 + 5x + 2x2) 3 + 5x + 2x2 + (8x3 + 6x + 5) = 8x3 + 2x2 + 11x + 8 Reorder the terms: 3 + 5x + 2x2 + (5 + 6x + 8x3) = 8x3 + 2x2 + 11x + 8 Remove parenthesis around (5 + 6x + 8x3) 3 + 5x + 2x2 + 5 + 6x + 8x3 = 8x3 + 2x2 + 11x + 8 Reorder the terms: 3 + 5 + 5x + 6x + 2x2 + 8x3 = 8x3 + 2x2 + 11x + 8 Combine like terms: 3 + 5 = 8 8 + 5x + 6x + 2x2 + 8x3 = 8x3 + 2x2 + 11x + 8 Combine like terms: 5x + 6x = 11x 8 + 11x + 2x2 + 8x3 = 8x3 + 2x2 + 11x + 8 Reorder the terms: 8 + 11x + 2x2 + 8x3 = 8 + 11x + 2x2 + 8x3 Add '-8' to each side of the equation. 8 + 11x + 2x2 + -8 + 8x3 = 8 + 11x + 2x2 + -8 + 8x3 Reorder the terms: 8 + -8 + 11x + 2x2 + 8x3 = 8 + 11x + 2x2 + -8 + 8x3 Combine like terms: 8 + -8 = 0 0 + 11x + 2x2 + 8x3 = 8 + 11x + 2x2 + -8 + 8x3 11x + 2x2 + 8x3 = 8 + 11x + 2x2 + -8 + 8x3 Reorder the terms: 11x + 2x2 + 8x3 = 8 + -8 + 11x + 2x2 + 8x3 Combine like terms: 8 + -8 = 0 11x + 2x2 + 8x3 = 0 + 11x + 2x2 + 8x3 11x + 2x2 + 8x3 = 11x + 2x2 + 8x3 Add '-11x' to each side of the equation. 11x + 2x2 + -11x + 8x3 = 11x + 2x2 + -11x + 8x3 Reorder the terms: 11x + -11x + 2x2 + 8x3 = 11x + 2x2 + -11x + 8x3 Combine like terms: 11x + -11x = 0 0 + 2x2 + 8x3 = 11x + 2x2 + -11x + 8x3 2x2 + 8x3 = 11x + 2x2 + -11x + 8x3 Reorder the terms: 2x2 + 8x3 = 11x + -11x + 2x2 + 8x3 Combine like terms: 11x + -11x = 0 2x2 + 8x3 = 0 + 2x2 + 8x3 2x2 + 8x3 = 2x2 + 8x3 Add '-2x2' to each side of the equation. 2x2 + -2x2 + 8x3 = 2x2 + -2x2 + 8x3 Combine like terms: 2x2 + -2x2 = 0 0 + 8x3 = 2x2 + -2x2 + 8x3 8x3 = 2x2 + -2x2 + 8x3 Combine like terms: 2x2 + -2x2 = 0 8x3 = 0 + 8x3 8x3 = 8x3 Add '-8x3' to each side of the equation. 8x3 + -8x3 = 8x3 + -8x3 Combine like terms: 8x3 + -8x3 = 0 0 = 8x3 + -8x3 Combine like terms: 8x3 + -8x3 = 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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