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Simplifying 5(a + 2) + 2(a + 5) = x Reorder the terms: 5(2 + a) + 2(a + 5) = x (2 * 5 + a * 5) + 2(a + 5) = x (10 + 5a) + 2(a + 5) = x Reorder the terms: 10 + 5a + 2(5 + a) = x 10 + 5a + (5 * 2 + a * 2) = x 10 + 5a + (10 + 2a) = x Reorder the terms: 10 + 10 + 5a + 2a = x Combine like terms: 10 + 10 = 20 20 + 5a + 2a = x Combine like terms: 5a + 2a = 7a 20 + 7a = x Solving 20 + 7a = x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7a = -20 + x Combine like terms: 20 + -20 = 0 0 + 7a = -20 + x 7a = -20 + x Divide each side by '7'. a = -2.857142857 + 0.1428571429x Simplifying a = -2.857142857 + 0.1428571429x
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