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Simplifying x(a + 1) + 5a(x + -1) = 2(3b + -2a) Reorder the terms: x(1 + a) + 5a(x + -1) = 2(3b + -2a) (1 * x + a * x) + 5a(x + -1) = 2(3b + -2a) Reorder the terms: (ax + 1x) + 5a(x + -1) = 2(3b + -2a) (ax + 1x) + 5a(x + -1) = 2(3b + -2a) Reorder the terms: ax + 1x + 5a(-1 + x) = 2(3b + -2a) ax + 1x + (-1 * 5a + x * 5a) = 2(3b + -2a) ax + 1x + (-5a + 5ax) = 2(3b + -2a) Reorder the terms: -5a + ax + 5ax + 1x = 2(3b + -2a) Combine like terms: ax + 5ax = 6ax -5a + 6ax + 1x = 2(3b + -2a) Reorder the terms: -5a + 6ax + 1x = 2(-2a + 3b) -5a + 6ax + 1x = (-2a * 2 + 3b * 2) -5a + 6ax + 1x = (-4a + 6b) Solving -5a + 6ax + 1x = -4a + 6b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -5a + 6ax + 4a + 1x = -4a + 4a + 6b Reorder the terms: -5a + 4a + 6ax + 1x = -4a + 4a + 6b Combine like terms: -5a + 4a = -1a -1a + 6ax + 1x = -4a + 4a + 6b Combine like terms: -4a + 4a = 0 -1a + 6ax + 1x = 0 + 6b -1a + 6ax + 1x = 6b Add '-1x' to each side of the equation. -1a + 6ax + 1x + -1x = 6b + -1x Combine like terms: 1x + -1x = 0 -1a + 6ax + 0 = 6b + -1x -1a + 6ax = 6b + -1x Reorder the terms: -1a + 6ax + -6b + x = 6b + -6b + -1x + x Combine like terms: 6b + -6b = 0 -1a + 6ax + -6b + x = 0 + -1x + x -1a + 6ax + -6b + x = -1x + x Combine like terms: -1x + x = 0 -1a + 6ax + -6b + x = 0 The solution to this equation could not be determined.
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