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Simplifying 5(x + 2a) + 1 = 25 + 11 Reorder the terms: 5(2a + x) + 1 = 25 + 11 (2a * 5 + x * 5) + 1 = 25 + 11 (10a + 5x) + 1 = 25 + 11 Reorder the terms: 1 + 10a + 5x = 25 + 11 Combine like terms: 25 + 11 = 36 1 + 10a + 5x = 36 Solving 1 + 10a + 5x = 36 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 10a + -1 + 5x = 36 + -1 Reorder the terms: 1 + -1 + 10a + 5x = 36 + -1 Combine like terms: 1 + -1 = 0 0 + 10a + 5x = 36 + -1 10a + 5x = 36 + -1 Combine like terms: 36 + -1 = 35 10a + 5x = 35 Add '-5x' to each side of the equation. 10a + 5x + -5x = 35 + -5x Combine like terms: 5x + -5x = 0 10a + 0 = 35 + -5x 10a = 35 + -5x Divide each side by '10'. a = 3.5 + -0.5x Simplifying a = 3.5 + -0.5x
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