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Simplifying (X + -5)(2x + -7) = 0 Reorder the terms: (-5 + X)(2x + -7) = 0 Reorder the terms: (-5 + X)(-7 + 2x) = 0 Multiply (-5 + X) * (-7 + 2x) (-5(-7 + 2x) + X(-7 + 2x)) = 0 ((-7 * -5 + 2x * -5) + X(-7 + 2x)) = 0 ((35 + -10x) + X(-7 + 2x)) = 0 (35 + -10x + (-7 * X + 2x * X)) = 0 (35 + -10x + (-7X + 2xX)) = 0 Reorder the terms: (35 + -7X + -10x + 2xX) = 0 (35 + -7X + -10x + 2xX) = 0 Solving 35 + -7X + -10x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -7X + -10x + -35 + 2xX = 0 + -35 Reorder the terms: 35 + -35 + -7X + -10x + 2xX = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -7X + -10x + 2xX = 0 + -35 -7X + -10x + 2xX = 0 + -35 Combine like terms: 0 + -35 = -35 -7X + -10x + 2xX = -35 Add '10x' to each side of the equation. -7X + -10x + 10x + 2xX = -35 + 10x Combine like terms: -10x + 10x = 0 -7X + 0 + 2xX = -35 + 10x -7X + 2xX = -35 + 10x Reorder the terms: 35 + -7X + -10x + 2xX = -35 + 10x + 35 + -10x Reorder the terms: 35 + -7X + -10x + 2xX = -35 + 35 + 10x + -10x Combine like terms: -35 + 35 = 0 35 + -7X + -10x + 2xX = 0 + 10x + -10x 35 + -7X + -10x + 2xX = 10x + -10x Combine like terms: 10x + -10x = 0 35 + -7X + -10x + 2xX = 0 The solution to this equation could not be determined.
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