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Simplifying x(x + -7) = (3x + 8)(X + -3) Reorder the terms: x(-7 + x) = (3x + 8)(X + -3) (-7 * x + x * x) = (3x + 8)(X + -3) (-7x + x2) = (3x + 8)(X + -3) Reorder the terms: -7x + x2 = (8 + 3x)(X + -3) Reorder the terms: -7x + x2 = (8 + 3x)(-3 + X) Multiply (8 + 3x) * (-3 + X) -7x + x2 = (8(-3 + X) + 3x * (-3 + X)) -7x + x2 = ((-3 * 8 + X * 8) + 3x * (-3 + X)) -7x + x2 = ((-24 + 8X) + 3x * (-3 + X)) -7x + x2 = (-24 + 8X + (-3 * 3x + X * 3x)) -7x + x2 = (-24 + 8X + (-9x + 3xX)) -7x + x2 = (-24 + 8X + -9x + 3xX) Solving -7x + x2 = -24 + 8X + -9x + 3xX Solving for variable 'x'. Reorder the terms: 24 + -8X + -7x + 9x + -3xX + x2 = -24 + 8X + -9x + 3xX + 24 + -8X + 9x + -3xX Combine like terms: -7x + 9x = 2x 24 + -8X + 2x + -3xX + x2 = -24 + 8X + -9x + 3xX + 24 + -8X + 9x + -3xX Reorder the terms: 24 + -8X + 2x + -3xX + x2 = -24 + 24 + 8X + -8X + -9x + 9x + 3xX + -3xX Combine like terms: -24 + 24 = 0 24 + -8X + 2x + -3xX + x2 = 0 + 8X + -8X + -9x + 9x + 3xX + -3xX 24 + -8X + 2x + -3xX + x2 = 8X + -8X + -9x + 9x + 3xX + -3xX Combine like terms: 8X + -8X = 0 24 + -8X + 2x + -3xX + x2 = 0 + -9x + 9x + 3xX + -3xX 24 + -8X + 2x + -3xX + x2 = -9x + 9x + 3xX + -3xX Combine like terms: -9x + 9x = 0 24 + -8X + 2x + -3xX + x2 = 0 + 3xX + -3xX 24 + -8X + 2x + -3xX + x2 = 3xX + -3xX Combine like terms: 3xX + -3xX = 0 24 + -8X + 2x + -3xX + x2 = 0 The solution to this equation could not be determined.
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