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Simplifying 2x(a + 1) = 3a(x + 1) + 7 Reorder the terms: 2x(1 + a) = 3a(x + 1) + 7 (1 * 2x + a * 2x) = 3a(x + 1) + 7 Reorder the terms: (2ax + 2x) = 3a(x + 1) + 7 (2ax + 2x) = 3a(x + 1) + 7 Reorder the terms: 2ax + 2x = 3a(1 + x) + 7 2ax + 2x = (1 * 3a + x * 3a) + 7 2ax + 2x = (3a + 3ax) + 7 Reorder the terms: 2ax + 2x = 7 + 3a + 3ax Solving 2ax + 2x = 7 + 3a + 3ax 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. 2ax + -3a + 2x = 7 + 3a + -3a + 3ax Reorder the terms: -3a + 2ax + 2x = 7 + 3a + -3a + 3ax Combine like terms: 3a + -3a = 0 -3a + 2ax + 2x = 7 + 0 + 3ax -3a + 2ax + 2x = 7 + 3ax Add '-3ax' to each side of the equation. -3a + 2ax + -3ax + 2x = 7 + 3ax + -3ax Combine like terms: 2ax + -3ax = -1ax -3a + -1ax + 2x = 7 + 3ax + -3ax Combine like terms: 3ax + -3ax = 0 -3a + -1ax + 2x = 7 + 0 -3a + -1ax + 2x = 7 Add '-2x' to each side of the equation. -3a + -1ax + 2x + -2x = 7 + -2x Combine like terms: 2x + -2x = 0 -3a + -1ax + 0 = 7 + -2x -3a + -1ax = 7 + -2x Reorder the terms: -7 + -3a + -1ax + 2x = 7 + -2x + -7 + 2x Reorder the terms: -7 + -3a + -1ax + 2x = 7 + -7 + -2x + 2x Combine like terms: 7 + -7 = 0 -7 + -3a + -1ax + 2x = 0 + -2x + 2x -7 + -3a + -1ax + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -7 + -3a + -1ax + 2x = 0 The solution to this equation could not be determined.
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