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Simplifying 2x + a(3x + 5) = bx + 30 Reorder the terms: 2x + a(5 + 3x) = bx + 30 2x + (5 * a + 3x * a) = bx + 30 2x + (5a + 3ax) = bx + 30 Reorder the terms: 5a + 3ax + 2x = bx + 30 Reorder the terms: 5a + 3ax + 2x = 30 + bx Solving 5a + 3ax + 2x = 30 + bx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. 5a + 3ax + 2x + -2x = 30 + bx + -2x Combine like terms: 2x + -2x = 0 5a + 3ax + 0 = 30 + bx + -2x 5a + 3ax = 30 + bx + -2x Reorder the terms: -30 + 5a + 3ax + -1bx + 2x = 30 + bx + -2x + -30 + -1bx + 2x Reorder the terms: -30 + 5a + 3ax + -1bx + 2x = 30 + -30 + bx + -1bx + -2x + 2x Combine like terms: 30 + -30 = 0 -30 + 5a + 3ax + -1bx + 2x = 0 + bx + -1bx + -2x + 2x -30 + 5a + 3ax + -1bx + 2x = bx + -1bx + -2x + 2x Combine like terms: bx + -1bx = 0 -30 + 5a + 3ax + -1bx + 2x = 0 + -2x + 2x -30 + 5a + 3ax + -1bx + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 5a + 3ax + -1bx + 2x = 0 The solution to this equation could not be determined.
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