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Simplifying (X + 10)(4x + -35) = 0 Reorder the terms: (10 + X)(4x + -35) = 0 Reorder the terms: (10 + X)(-35 + 4x) = 0 Multiply (10 + X) * (-35 + 4x) (10(-35 + 4x) + X(-35 + 4x)) = 0 ((-35 * 10 + 4x * 10) + X(-35 + 4x)) = 0 ((-350 + 40x) + X(-35 + 4x)) = 0 (-350 + 40x + (-35 * X + 4x * X)) = 0 (-350 + 40x + (-35X + 4xX)) = 0 Reorder the terms: (-350 + -35X + 40x + 4xX) = 0 (-350 + -35X + 40x + 4xX) = 0 Solving -350 + -35X + 40x + 4xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '350' to each side of the equation. -350 + -35X + 40x + 350 + 4xX = 0 + 350 Reorder the terms: -350 + 350 + -35X + 40x + 4xX = 0 + 350 Combine like terms: -350 + 350 = 0 0 + -35X + 40x + 4xX = 0 + 350 -35X + 40x + 4xX = 0 + 350 Combine like terms: 0 + 350 = 350 -35X + 40x + 4xX = 350 Add '-40x' to each side of the equation. -35X + 40x + -40x + 4xX = 350 + -40x Combine like terms: 40x + -40x = 0 -35X + 0 + 4xX = 350 + -40x -35X + 4xX = 350 + -40x Reorder the terms: -350 + -35X + 40x + 4xX = 350 + -40x + -350 + 40x Reorder the terms: -350 + -35X + 40x + 4xX = 350 + -350 + -40x + 40x Combine like terms: 350 + -350 = 0 -350 + -35X + 40x + 4xX = 0 + -40x + 40x -350 + -35X + 40x + 4xX = -40x + 40x Combine like terms: -40x + 40x = 0 -350 + -35X + 40x + 4xX = 0 The solution to this equation could not be determined.
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