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Simplifying (X + -4)(x + 3) = 30 Reorder the terms: (-4 + X)(x + 3) = 30 Reorder the terms: (-4 + X)(3 + x) = 30 Multiply (-4 + X) * (3 + x) (-4(3 + x) + X(3 + x)) = 30 ((3 * -4 + x * -4) + X(3 + x)) = 30 ((-12 + -4x) + X(3 + x)) = 30 (-12 + -4x + (3 * X + x * X)) = 30 (-12 + -4x + (3X + xX)) = 30 Reorder the terms: (-12 + 3X + -4x + xX) = 30 (-12 + 3X + -4x + xX) = 30 Solving -12 + 3X + -4x + xX = 30 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 + 3X + -4x + 12 + xX = 30 + 12 Reorder the terms: -12 + 12 + 3X + -4x + xX = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 3X + -4x + xX = 30 + 12 3X + -4x + xX = 30 + 12 Combine like terms: 30 + 12 = 42 3X + -4x + xX = 42 Add '4x' to each side of the equation. 3X + -4x + 4x + xX = 42 + 4x Combine like terms: -4x + 4x = 0 3X + 0 + xX = 42 + 4x 3X + xX = 42 + 4x Reorder the terms: -42 + 3X + -4x + xX = 42 + 4x + -42 + -4x Reorder the terms: -42 + 3X + -4x + xX = 42 + -42 + 4x + -4x Combine like terms: 42 + -42 = 0 -42 + 3X + -4x + xX = 0 + 4x + -4x -42 + 3X + -4x + xX = 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 3X + -4x + xX = 0 The solution to this equation could not be determined.
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