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Simplifying (x + 4)(X + -3) = 4(2x + -1) Reorder the terms: (4 + x)(X + -3) = 4(2x + -1) Reorder the terms: (4 + x)(-3 + X) = 4(2x + -1) Multiply (4 + x) * (-3 + X) (4(-3 + X) + x(-3 + X)) = 4(2x + -1) ((-3 * 4 + X * 4) + x(-3 + X)) = 4(2x + -1) ((-12 + 4X) + x(-3 + X)) = 4(2x + -1) (-12 + 4X + (-3 * x + X * x)) = 4(2x + -1) (-12 + 4X + (-3x + xX)) = 4(2x + -1) (-12 + 4X + -3x + xX) = 4(2x + -1) Reorder the terms: -12 + 4X + -3x + xX = 4(-1 + 2x) -12 + 4X + -3x + xX = (-1 * 4 + 2x * 4) -12 + 4X + -3x + xX = (-4 + 8x) Solving -12 + 4X + -3x + xX = -4 + 8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 4X + -3x + 12 + xX = -4 + 12 + 8x Reorder the terms: -12 + 12 + 4X + -3x + xX = -4 + 12 + 8x Combine like terms: -12 + 12 = 0 0 + 4X + -3x + xX = -4 + 12 + 8x 4X + -3x + xX = -4 + 12 + 8x Combine like terms: -4 + 12 = 8 4X + -3x + xX = 8 + 8x Add '3x' to each side of the equation. 4X + -3x + 3x + xX = 8 + 8x + 3x Combine like terms: -3x + 3x = 0 4X + 0 + xX = 8 + 8x + 3x 4X + xX = 8 + 8x + 3x Combine like terms: 8x + 3x = 11x 4X + xX = 8 + 11x Reorder the terms: -8 + 4X + -11x + xX = 8 + 11x + -8 + -11x Reorder the terms: -8 + 4X + -11x + xX = 8 + -8 + 11x + -11x Combine like terms: 8 + -8 = 0 -8 + 4X + -11x + xX = 0 + 11x + -11x -8 + 4X + -11x + xX = 11x + -11x Combine like terms: 11x + -11x = 0 -8 + 4X + -11x + xX = 0 The solution to this equation could not be determined.
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