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Simplifying 5 + d(3x + 8) = a(x + 2) Reorder the terms: 5 + d(8 + 3x) = a(x + 2) 5 + (8 * d + 3x * d) = a(x + 2) 5 + (8d + 3dx) = a(x + 2) Reorder the terms: 5 + 8d + 3dx = a(2 + x) 5 + 8d + 3dx = (2 * a + x * a) 5 + 8d + 3dx = (2a + ax) Solving 5 + 8d + 3dx = 2a + ax Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 8d + -5 + 3dx = 2a + -5 + ax Reorder the terms: 5 + -5 + 8d + 3dx = 2a + -5 + ax Combine like terms: 5 + -5 = 0 0 + 8d + 3dx = 2a + -5 + ax 8d + 3dx = 2a + -5 + ax Reorder the terms: 8d + 3dx = -5 + 2a + ax Reorder the terms: 5 + -2a + -1ax + 8d + 3dx = -5 + 2a + ax + 5 + -2a + -1ax Reorder the terms: 5 + -2a + -1ax + 8d + 3dx = -5 + 5 + 2a + -2a + ax + -1ax Combine like terms: -5 + 5 = 0 5 + -2a + -1ax + 8d + 3dx = 0 + 2a + -2a + ax + -1ax 5 + -2a + -1ax + 8d + 3dx = 2a + -2a + ax + -1ax Combine like terms: 2a + -2a = 0 5 + -2a + -1ax + 8d + 3dx = 0 + ax + -1ax 5 + -2a + -1ax + 8d + 3dx = ax + -1ax Combine like terms: ax + -1ax = 0 5 + -2a + -1ax + 8d + 3dx = 0 The solution to this equation could not be determined.
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