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Simplifying x(7 + 2a) + 5 = 3a(1 + 2x) (7 * x + 2a * x) + 5 = 3a(1 + 2x) Reorder the terms: (2ax + 7x) + 5 = 3a(1 + 2x) (2ax + 7x) + 5 = 3a(1 + 2x) Reorder the terms: 5 + 2ax + 7x = 3a(1 + 2x) 5 + 2ax + 7x = (1 * 3a + 2x * 3a) 5 + 2ax + 7x = (3a + 6ax) Solving 5 + 2ax + 7x = 3a + 6ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 5 + 2ax + -3a + 7x = 3a + -3a + 6ax Reorder the terms: 5 + -3a + 2ax + 7x = 3a + -3a + 6ax Combine like terms: 3a + -3a = 0 5 + -3a + 2ax + 7x = 0 + 6ax 5 + -3a + 2ax + 7x = 6ax Add '-6ax' to each side of the equation. 5 + -3a + 2ax + -6ax + 7x = 6ax + -6ax Combine like terms: 2ax + -6ax = -4ax 5 + -3a + -4ax + 7x = 6ax + -6ax Combine like terms: 6ax + -6ax = 0 5 + -3a + -4ax + 7x = 0 Add '-5' to each side of the equation. 5 + -3a + -4ax + -5 + 7x = 0 + -5 Reorder the terms: 5 + -5 + -3a + -4ax + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a + -4ax + 7x = 0 + -5 -3a + -4ax + 7x = 0 + -5 Combine like terms: 0 + -5 = -5 -3a + -4ax + 7x = -5 Add '-7x' to each side of the equation. -3a + -4ax + 7x + -7x = -5 + -7x Combine like terms: 7x + -7x = 0 -3a + -4ax + 0 = -5 + -7x -3a + -4ax = -5 + -7x Reorder the terms: 5 + -3a + -4ax + 7x = -5 + -7x + 5 + 7x Reorder the terms: 5 + -3a + -4ax + 7x = -5 + 5 + -7x + 7x Combine like terms: -5 + 5 = 0 5 + -3a + -4ax + 7x = 0 + -7x + 7x 5 + -3a + -4ax + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 5 + -3a + -4ax + 7x = 0 The solution to this equation could not be determined.
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