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Simplifying (a + -10) * x(a + 10) = 200 Reorder the terms: (-10 + a) * x(a + 10) = 200 Reorder the terms: (-10 + a) * x(10 + a) = 200 Reorder the terms for easier multiplication: x(-10 + a)(10 + a) = 200 Multiply (-10 + a) * (10 + a) x(-10(10 + a) + a(10 + a)) = 200 x((10 * -10 + a * -10) + a(10 + a)) = 200 x((-100 + -10a) + a(10 + a)) = 200 x(-100 + -10a + (10 * a + a * a)) = 200 x(-100 + -10a + (10a + a2)) = 200 Combine like terms: -10a + 10a = 0 x(-100 + 0 + a2) = 200 x(-100 + a2) = 200 (-100 * x + a2 * x) = 200 Reorder the terms: (a2x + -100x) = 200 (a2x + -100x) = 200 Solving a2x + -100x = 200 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '100x' to each side of the equation. a2x + -100x + 100x = 200 + 100x Combine like terms: -100x + 100x = 0 a2x + 0 = 200 + 100x a2x = 200 + 100x Divide each side by 'x'. a2 = 200x-1 + 100 Simplifying a2 = 200x-1 + 100 Reorder the terms: a2 = 100 + 200x-1 Reorder the terms: -100 + a2 + -200x-1 = 100 + 200x-1 + -100 + -200x-1 Reorder the terms: -100 + a2 + -200x-1 = 100 + -100 + 200x-1 + -200x-1 Combine like terms: 100 + -100 = 0 -100 + a2 + -200x-1 = 0 + 200x-1 + -200x-1 -100 + a2 + -200x-1 = 200x-1 + -200x-1 Combine like terms: 200x-1 + -200x-1 = 0 -100 + a2 + -200x-1 = 0 The solution to this equation could not be determined.
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