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Simplifying (3x + -8)(x + 7) = 3x2 + 13x + -56 Reorder the terms: (-8 + 3x)(x + 7) = 3x2 + 13x + -56 Reorder the terms: (-8 + 3x)(7 + x) = 3x2 + 13x + -56 Multiply (-8 + 3x) * (7 + x) (-8(7 + x) + 3x * (7 + x)) = 3x2 + 13x + -56 ((7 * -8 + x * -8) + 3x * (7 + x)) = 3x2 + 13x + -56 ((-56 + -8x) + 3x * (7 + x)) = 3x2 + 13x + -56 (-56 + -8x + (7 * 3x + x * 3x)) = 3x2 + 13x + -56 (-56 + -8x + (21x + 3x2)) = 3x2 + 13x + -56 Combine like terms: -8x + 21x = 13x (-56 + 13x + 3x2) = 3x2 + 13x + -56 Reorder the terms: -56 + 13x + 3x2 = -56 + 13x + 3x2 Add '56' to each side of the equation. -56 + 13x + 56 + 3x2 = -56 + 13x + 56 + 3x2 Reorder the terms: -56 + 56 + 13x + 3x2 = -56 + 13x + 56 + 3x2 Combine like terms: -56 + 56 = 0 0 + 13x + 3x2 = -56 + 13x + 56 + 3x2 13x + 3x2 = -56 + 13x + 56 + 3x2 Reorder the terms: 13x + 3x2 = -56 + 56 + 13x + 3x2 Combine like terms: -56 + 56 = 0 13x + 3x2 = 0 + 13x + 3x2 13x + 3x2 = 13x + 3x2 Add '-13x' to each side of the equation. 13x + -13x + 3x2 = 13x + -13x + 3x2 Combine like terms: 13x + -13x = 0 0 + 3x2 = 13x + -13x + 3x2 3x2 = 13x + -13x + 3x2 Combine like terms: 13x + -13x = 0 3x2 = 0 + 3x2 3x2 = 3x2 Add '-3x2' to each side of the equation. 3x2 + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 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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