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Simplifying (2X + -3)(X + 4) = 5X + 2X(X) + -11 Reorder the terms: (-3 + 2X)(X + 4) = 5X + 2X(X) + -11 Reorder the terms: (-3 + 2X)(4 + X) = 5X + 2X(X) + -11 Multiply (-3 + 2X) * (4 + X) (-3(4 + X) + 2X * (4 + X)) = 5X + 2X(X) + -11 ((4 * -3 + X * -3) + 2X * (4 + X)) = 5X + 2X(X) + -11 ((-12 + -3X) + 2X * (4 + X)) = 5X + 2X(X) + -11 (-12 + -3X + (4 * 2X + X * 2X)) = 5X + 2X(X) + -11 (-12 + -3X + (8X + 2X2)) = 5X + 2X(X) + -11 Combine like terms: -3X + 8X = 5X (-12 + 5X + 2X2) = 5X + 2X(X) + -11 Multiply X * X -12 + 5X + 2X2 = 5X + 2X2 + -11 Reorder the terms: -12 + 5X + 2X2 = -11 + 5X + 2X2 Add '-5X' to each side of the equation. -12 + 5X + -5X + 2X2 = -11 + 5X + -5X + 2X2 Combine like terms: 5X + -5X = 0 -12 + 0 + 2X2 = -11 + 5X + -5X + 2X2 -12 + 2X2 = -11 + 5X + -5X + 2X2 Combine like terms: 5X + -5X = 0 -12 + 2X2 = -11 + 0 + 2X2 -12 + 2X2 = -11 + 2X2 Add '-2X2' to each side of the equation. -12 + 2X2 + -2X2 = -11 + 2X2 + -2X2 Combine like terms: 2X2 + -2X2 = 0 -12 + 0 = -11 + 2X2 + -2X2 -12 = -11 + 2X2 + -2X2 Combine like terms: 2X2 + -2X2 = 0 -12 = -11 + 0 -12 = -11 Solving -12 = -11 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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