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Simplifying 5(x + 2a) + 1 = 25a + 11 Reorder the terms: 5(2a + x) + 1 = 25a + 11 (2a * 5 + x * 5) + 1 = 25a + 11 (10a + 5x) + 1 = 25a + 11 Reorder the terms: 1 + 10a + 5x = 25a + 11 Reorder the terms: 1 + 10a + 5x = 11 + 25a Solving 1 + 10a + 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 + 10a + -25a + 5x = 11 + 25a + -25a Combine like terms: 10a + -25a = -15a 1 + -15a + 5x = 11 + 25a + -25a Combine like terms: 25a + -25a = 0 1 + -15a + 5x = 11 + 0 1 + -15a + 5x = 11 Add '-1' to each side of the equation. 1 + -15a + -1 + 5x = 11 + -1 Reorder the terms: 1 + -1 + -15a + 5x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -15a + 5x = 11 + -1 -15a + 5x = 11 + -1 Combine like terms: 11 + -1 = 10 -15a + 5x = 10 Add '-5x' to each side of the equation. -15a + 5x + -5x = 10 + -5x Combine like terms: 5x + -5x = 0 -15a + 0 = 10 + -5x -15a = 10 + -5x Divide each side by '-15'. a = -0.6666666667 + 0.3333333333x Simplifying a = -0.6666666667 + 0.3333333333x
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