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Simplifying 5a = 2x(6 + -3a) + 21 5a = (6 * 2x + -3a * 2x) + 21 Reorder the terms: 5a = (-6ax + 12x) + 21 5a = (-6ax + 12x) + 21 Reorder the terms: 5a = 21 + -6ax + 12x Solving 5a = 21 + -6ax + 12x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6ax' to each side of the equation. 5a + 6ax = 21 + -6ax + 6ax + 12x Combine like terms: -6ax + 6ax = 0 5a + 6ax = 21 + 0 + 12x 5a + 6ax = 21 + 12x Reorder the terms: -21 + 5a + 6ax + -12x = 21 + 12x + -21 + -12x Reorder the terms: -21 + 5a + 6ax + -12x = 21 + -21 + 12x + -12x Combine like terms: 21 + -21 = 0 -21 + 5a + 6ax + -12x = 0 + 12x + -12x -21 + 5a + 6ax + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 -21 + 5a + 6ax + -12x = 0 The solution to this equation could not be determined.
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