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Simplifying x2 + -3x + 8 = x2 + -5x + 10 + 2x + -2 Reorder the terms: 8 + -3x + x2 = x2 + -5x + 10 + 2x + -2 Reorder the terms: 8 + -3x + x2 = 10 + -2 + -5x + 2x + x2 Combine like terms: 10 + -2 = 8 8 + -3x + x2 = 8 + -5x + 2x + x2 Combine like terms: -5x + 2x = -3x 8 + -3x + x2 = 8 + -3x + x2 Add '-8' to each side of the equation. 8 + -3x + -8 + x2 = 8 + -3x + -8 + x2 Reorder the terms: 8 + -8 + -3x + x2 = 8 + -3x + -8 + x2 Combine like terms: 8 + -8 = 0 0 + -3x + x2 = 8 + -3x + -8 + x2 -3x + x2 = 8 + -3x + -8 + x2 Reorder the terms: -3x + x2 = 8 + -8 + -3x + x2 Combine like terms: 8 + -8 = 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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