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Simplifying (x2 + -9x + -9) + -1(7x2 + 3x + 4) = (x2 + -9x + -9) + -1(7x2 + 3x + 4) Reorder the terms: (-9 + -9x + x2) + -1(7x2 + 3x + 4) = (x2 + -9x + -9) + -1(7x2 + 3x + 4) Remove parenthesis around (-9 + -9x + x2) -9 + -9x + x2 + -1(7x2 + 3x + 4) = (x2 + -9x + -9) + -1(7x2 + 3x + 4) Reorder the terms: -9 + -9x + x2 + -1(4 + 3x + 7x2) = (x2 + -9x + -9) + -1(7x2 + 3x + 4) -9 + -9x + x2 + (4 * -1 + 3x * -1 + 7x2 * -1) = (x2 + -9x + -9) + -1(7x2 + 3x + 4) -9 + -9x + x2 + (-4 + -3x + -7x2) = (x2 + -9x + -9) + -1(7x2 + 3x + 4) Reorder the terms: -9 + -4 + -9x + -3x + x2 + -7x2 = (x2 + -9x + -9) + -1(7x2 + 3x + 4) Combine like terms: -9 + -4 = -13 -13 + -9x + -3x + x2 + -7x2 = (x2 + -9x + -9) + -1(7x2 + 3x + 4) Combine like terms: -9x + -3x = -12x -13 + -12x + x2 + -7x2 = (x2 + -9x + -9) + -1(7x2 + 3x + 4) Combine like terms: x2 + -7x2 = -6x2 -13 + -12x + -6x2 = (x2 + -9x + -9) + -1(7x2 + 3x + 4) Reorder the terms: -13 + -12x + -6x2 = (-9 + -9x + x2) + -1(7x2 + 3x + 4) Remove parenthesis around (-9 + -9x + x2) -13 + -12x + -6x2 = -9 + -9x + x2 + -1(7x2 + 3x + 4) Reorder the terms: -13 + -12x + -6x2 = -9 + -9x + x2 + -1(4 + 3x + 7x2) -13 + -12x + -6x2 = -9 + -9x + x2 + (4 * -1 + 3x * -1 + 7x2 * -1) -13 + -12x + -6x2 = -9 + -9x + x2 + (-4 + -3x + -7x2) Reorder the terms: -13 + -12x + -6x2 = -9 + -4 + -9x + -3x + x2 + -7x2 Combine like terms: -9 + -4 = -13 -13 + -12x + -6x2 = -13 + -9x + -3x + x2 + -7x2 Combine like terms: -9x + -3x = -12x -13 + -12x + -6x2 = -13 + -12x + x2 + -7x2 Combine like terms: x2 + -7x2 = -6x2 -13 + -12x + -6x2 = -13 + -12x + -6x2 Add '13' to each side of the equation. -13 + -12x + 13 + -6x2 = -13 + -12x + 13 + -6x2 Reorder the terms: -13 + 13 + -12x + -6x2 = -13 + -12x + 13 + -6x2 Combine like terms: -13 + 13 = 0 0 + -12x + -6x2 = -13 + -12x + 13 + -6x2 -12x + -6x2 = -13 + -12x + 13 + -6x2 Reorder the terms: -12x + -6x2 = -13 + 13 + -12x + -6x2 Combine like terms: -13 + 13 = 0 -12x + -6x2 = 0 + -12x + -6x2 -12x + -6x2 = -12x + -6x2 Add '12x' to each side of the equation. -12x + 12x + -6x2 = -12x + 12x + -6x2 Combine like terms: -12x + 12x = 0 0 + -6x2 = -12x + 12x + -6x2 -6x2 = -12x + 12x + -6x2 Combine like terms: -12x + 12x = 0 -6x2 = 0 + -6x2 -6x2 = -6x2 Add '6x2' to each side of the equation. -6x2 + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 0 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 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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