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Simplifying (a + 2)(x + -5) = 10 Reorder the terms: (2 + a)(x + -5) = 10 Reorder the terms: (2 + a)(-5 + x) = 10 Multiply (2 + a) * (-5 + x) (2(-5 + x) + a(-5 + x)) = 10 ((-5 * 2 + x * 2) + a(-5 + x)) = 10 ((-10 + 2x) + a(-5 + x)) = 10 (-10 + 2x + (-5 * a + x * a)) = 10 (-10 + 2x + (-5a + ax)) = 10 Reorder the terms: (-10 + -5a + ax + 2x) = 10 (-10 + -5a + ax + 2x) = 10 Solving -10 + -5a + ax + 2x = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -5a + ax + 10 + 2x = 10 + 10 Reorder the terms: -10 + 10 + -5a + ax + 2x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -5a + ax + 2x = 10 + 10 -5a + ax + 2x = 10 + 10 Combine like terms: 10 + 10 = 20 -5a + ax + 2x = 20 Add '-2x' to each side of the equation. -5a + ax + 2x + -2x = 20 + -2x Combine like terms: 2x + -2x = 0 -5a + ax + 0 = 20 + -2x -5a + ax = 20 + -2x Reorder the terms: -20 + -5a + ax + 2x = 20 + -2x + -20 + 2x Reorder the terms: -20 + -5a + ax + 2x = 20 + -20 + -2x + 2x Combine like terms: 20 + -20 = 0 -20 + -5a + ax + 2x = 0 + -2x + 2x -20 + -5a + ax + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -20 + -5a + ax + 2x = 0 The solution to this equation could not be determined.
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