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