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Simplifying (X + 4)(2x + -7) = 42 Reorder the terms: (4 + X)(2x + -7) = 42 Reorder the terms: (4 + X)(-7 + 2x) = 42 Multiply (4 + X) * (-7 + 2x) (4(-7 + 2x) + X(-7 + 2x)) = 42 ((-7 * 4 + 2x * 4) + X(-7 + 2x)) = 42 ((-28 + 8x) + X(-7 + 2x)) = 42 (-28 + 8x + (-7 * X + 2x * X)) = 42 (-28 + 8x + (-7X + 2xX)) = 42 Reorder the terms: (-28 + -7X + 8x + 2xX) = 42 (-28 + -7X + 8x + 2xX) = 42 Solving -28 + -7X + 8x + 2xX = 42 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '28' to each side of the equation. -28 + -7X + 8x + 28 + 2xX = 42 + 28 Reorder the terms: -28 + 28 + -7X + 8x + 2xX = 42 + 28 Combine like terms: -28 + 28 = 0 0 + -7X + 8x + 2xX = 42 + 28 -7X + 8x + 2xX = 42 + 28 Combine like terms: 42 + 28 = 70 -7X + 8x + 2xX = 70 Add '-8x' to each side of the equation. -7X + 8x + -8x + 2xX = 70 + -8x Combine like terms: 8x + -8x = 0 -7X + 0 + 2xX = 70 + -8x -7X + 2xX = 70 + -8x Reorder the terms: -70 + -7X + 8x + 2xX = 70 + -8x + -70 + 8x Reorder the terms: -70 + -7X + 8x + 2xX = 70 + -70 + -8x + 8x Combine like terms: 70 + -70 = 0 -70 + -7X + 8x + 2xX = 0 + -8x + 8x -70 + -7X + 8x + 2xX = -8x + 8x Combine like terms: -8x + 8x = 0 -70 + -7X + 8x + 2xX = 0 The solution to this equation could not be determined.
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