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Simplifying 5(x + 12a) + 1 = 25a + 11 Reorder the terms: 5(12a + x) + 1 = 25a + 11 (12a * 5 + x * 5) + 1 = 25a + 11 (60a + 5x) + 1 = 25a + 11 Reorder the terms: 1 + 60a + 5x = 25a + 11 Reorder the terms: 1 + 60a + 5x = 11 + 25a Solving 1 + 60a + 5x = 11 + 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. 1 + 60a + -25a + 5x = 11 + 25a + -25a Combine like terms: 60a + -25a = 35a 1 + 35a + 5x = 11 + 25a + -25a Combine like terms: 25a + -25a = 0 1 + 35a + 5x = 11 + 0 1 + 35a + 5x = 11 Add '-1' to each side of the equation. 1 + 35a + -1 + 5x = 11 + -1 Reorder the terms: 1 + -1 + 35a + 5x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 35a + 5x = 11 + -1 35a + 5x = 11 + -1 Combine like terms: 11 + -1 = 10 35a + 5x = 10 Add '-5x' to each side of the equation. 35a + 5x + -5x = 10 + -5x Combine like terms: 5x + -5x = 0 35a + 0 = 10 + -5x 35a = 10 + -5x Divide each side by '35'. a = 0.2857142857 + -0.1428571429x Simplifying a = 0.2857142857 + -0.1428571429x
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