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Simplifying 5(a + 2) + x(a + 2) = 0 Reorder the terms: 5(2 + a) + x(a + 2) = 0 (2 * 5 + a * 5) + x(a + 2) = 0 (10 + 5a) + x(a + 2) = 0 Reorder the terms: 10 + 5a + x(2 + a) = 0 10 + 5a + (2 * x + a * x) = 0 Reorder the terms: 10 + 5a + (ax + 2x) = 0 10 + 5a + (ax + 2x) = 0 Solving 10 + 5a + ax + 2x = 0 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 = 0 + -10 Reorder the terms: 10 + -10 + 5a + ax + 2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5a + ax + 2x = 0 + -10 5a + ax + 2x = 0 + -10 Combine like terms: 0 + -10 = -10 5a + ax + 2x = -10 Add '-2x' to each side of the equation. 5a + ax + 2x + -2x = -10 + -2x Combine like terms: 2x + -2x = 0 5a + ax + 0 = -10 + -2x 5a + ax = -10 + -2x Reorder the terms: 10 + 5a + ax + 2x = -10 + -2x + 10 + 2x Reorder the terms: 10 + 5a + ax + 2x = -10 + 10 + -2x + 2x Combine like terms: -10 + 10 = 0 10 + 5a + ax + 2x = 0 + -2x + 2x 10 + 5a + ax + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 10 + 5a + ax + 2x = 0 The solution to this equation could not be determined.
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