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Simplifying 4(x + -3) + (x + -1)(x + 2) = (x2) + -5(3 + -1x) Reorder the terms: 4(-3 + x) + (x + -1)(x + 2) = (x2) + -5(3 + -1x) (-3 * 4 + x * 4) + (x + -1)(x + 2) = (x2) + -5(3 + -1x) (-12 + 4x) + (x + -1)(x + 2) = (x2) + -5(3 + -1x) Reorder the terms: -12 + 4x + (-1 + x)(x + 2) = (x2) + -5(3 + -1x) Reorder the terms: -12 + 4x + (-1 + x)(2 + x) = (x2) + -5(3 + -1x) Multiply (-1 + x) * (2 + x) -12 + 4x + (-1(2 + x) + x(2 + x)) = (x2) + -5(3 + -1x) -12 + 4x + ((2 * -1 + x * -1) + x(2 + x)) = (x2) + -5(3 + -1x) -12 + 4x + ((-2 + -1x) + x(2 + x)) = (x2) + -5(3 + -1x) -12 + 4x + (-2 + -1x + (2 * x + x * x)) = (x2) + -5(3 + -1x) -12 + 4x + (-2 + -1x + (2x + x2)) = (x2) + -5(3 + -1x) Combine like terms: -1x + 2x = 1x -12 + 4x + (-2 + 1x + x2) = (x2) + -5(3 + -1x) Reorder the terms: -12 + -2 + 4x + 1x + x2 = (x2) + -5(3 + -1x) Combine like terms: -12 + -2 = -14 -14 + 4x + 1x + x2 = (x2) + -5(3 + -1x) Combine like terms: 4x + 1x = 5x -14 + 5x + x2 = (x2) + -5(3 + -1x) -14 + 5x + x2 = x2 + -5(3 + -1x) -14 + 5x + x2 = x2 + (3 * -5 + -1x * -5) -14 + 5x + x2 = x2 + (-15 + 5x) Reorder the terms: -14 + 5x + x2 = -15 + 5x + x2 Add '-5x' to each side of the equation. -14 + 5x + -5x + x2 = -15 + 5x + -5x + x2 Combine like terms: 5x + -5x = 0 -14 + 0 + x2 = -15 + 5x + -5x + x2 -14 + x2 = -15 + 5x + -5x + x2 Combine like terms: 5x + -5x = 0 -14 + x2 = -15 + 0 + x2 -14 + x2 = -15 + x2 Add '-1x2' to each side of the equation. -14 + x2 + -1x2 = -15 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14 + 0 = -15 + x2 + -1x2 -14 = -15 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14 = -15 + 0 -14 = -15 Solving -14 = -15 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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