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Simplifying 3x + 2(x + 2) * a = 13 + -1(2x + 2) Reorder the terms: 3x + 2(2 + x) * a = 13 + -1(2x + 2) Reorder the terms for easier multiplication: 3x + 2a(2 + x) = 13 + -1(2x + 2) 3x + (2 * 2a + x * 2a) = 13 + -1(2x + 2) 3x + (4a + 2ax) = 13 + -1(2x + 2) Reorder the terms: 4a + 2ax + 3x = 13 + -1(2x + 2) Reorder the terms: 4a + 2ax + 3x = 13 + -1(2 + 2x) 4a + 2ax + 3x = 13 + (2 * -1 + 2x * -1) 4a + 2ax + 3x = 13 + (-2 + -2x) Combine like terms: 13 + -2 = 11 4a + 2ax + 3x = 11 + -2x Solving 4a + 2ax + 3x = 11 + -2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3x' to each side of the equation. 4a + 2ax + 3x + -3x = 11 + -2x + -3x Combine like terms: 3x + -3x = 0 4a + 2ax + 0 = 11 + -2x + -3x 4a + 2ax = 11 + -2x + -3x Combine like terms: -2x + -3x = -5x 4a + 2ax = 11 + -5x Reorder the terms: -11 + 4a + 2ax + 5x = 11 + -5x + -11 + 5x Reorder the terms: -11 + 4a + 2ax + 5x = 11 + -11 + -5x + 5x Combine like terms: 11 + -11 = 0 -11 + 4a + 2ax + 5x = 0 + -5x + 5x -11 + 4a + 2ax + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -11 + 4a + 2ax + 5x = 0 The solution to this equation could not be determined.
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