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Simplifying 5(x + -1a) + -9 = a(7 + -3x) + b Reorder the terms: 5(-1a + x) + -9 = a(7 + -3x) + b (-1a * 5 + x * 5) + -9 = a(7 + -3x) + b (-5a + 5x) + -9 = a(7 + -3x) + b Reorder the terms: -9 + -5a + 5x = a(7 + -3x) + b -9 + -5a + 5x = (7 * a + -3x * a) + b -9 + -5a + 5x = (7a + -3ax) + b Solving -9 + -5a + 5x = 7a + -3ax + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -9 + -5a + -7a + 5x = 7a + -3ax + -7a + b Combine like terms: -5a + -7a = -12a -9 + -12a + 5x = 7a + -3ax + -7a + b Reorder the terms: -9 + -12a + 5x = 7a + -7a + -3ax + b Combine like terms: 7a + -7a = 0 -9 + -12a + 5x = 0 + -3ax + b -9 + -12a + 5x = -3ax + b Add '3ax' to each side of the equation. -9 + -12a + 3ax + 5x = -3ax + 3ax + b Combine like terms: -3ax + 3ax = 0 -9 + -12a + 3ax + 5x = 0 + b -9 + -12a + 3ax + 5x = b Add '9' to each side of the equation. -9 + -12a + 3ax + 9 + 5x = 9 + b Reorder the terms: -9 + 9 + -12a + 3ax + 5x = 9 + b Combine like terms: -9 + 9 = 0 0 + -12a + 3ax + 5x = 9 + b -12a + 3ax + 5x = 9 + b Add '-5x' to each side of the equation. -12a + 3ax + 5x + -5x = 9 + b + -5x Combine like terms: 5x + -5x = 0 -12a + 3ax + 0 = 9 + b + -5x -12a + 3ax = 9 + b + -5x Reorder the terms: -9 + -12a + 3ax + -1b + 5x = 9 + b + -5x + -9 + -1b + 5x Reorder the terms: -9 + -12a + 3ax + -1b + 5x = 9 + -9 + b + -1b + -5x + 5x Combine like terms: 9 + -9 = 0 -9 + -12a + 3ax + -1b + 5x = 0 + b + -1b + -5x + 5x -9 + -12a + 3ax + -1b + 5x = b + -1b + -5x + 5x Combine like terms: b + -1b = 0 -9 + -12a + 3ax + -1b + 5x = 0 + -5x + 5x -9 + -12a + 3ax + -1b + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -9 + -12a + 3ax + -1b + 5x = 0 The solution to this equation could not be determined.
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