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