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Simplifying 8x + -1yx = 13x + -1ax Reorder the terms: 8x + -1xy = -1ax + 13x Solving 8x + -1xy = -1ax + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'ax' to each side of the equation. 8x + ax + -1xy = -1ax + ax + 13x Reorder the terms: ax + 8x + -1xy = -1ax + ax + 13x Combine like terms: -1ax + ax = 0 ax + 8x + -1xy = 0 + 13x ax + 8x + -1xy = 13x Add '-13x' to each side of the equation. ax + 8x + -13x + -1xy = 13x + -13x Combine like terms: 8x + -13x = -5x ax + -5x + -1xy = 13x + -13x Combine like terms: 13x + -13x = 0 ax + -5x + -1xy = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(a + -5 + -1y) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(a + -5 + -1y)' equal to zero and attempt to solve: Simplifying a + -5 + -1y = 0 Reorder the terms: -5 + a + -1y = 0 Solving -5 + a + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + a + 5 + -1y = 0 + 5 Reorder the terms: -5 + 5 + a + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + a + -1y = 0 + 5 a + -1y = 0 + 5 Combine like terms: 0 + 5 = 5 a + -1y = 5 Add '-1a' to each side of the equation. a + -1a + -1y = 5 + -1a Combine like terms: a + -1a = 0 0 + -1y = 5 + -1a -1y = 5 + -1a Add 'y' to each side of the equation. -1y + y = 5 + -1a + y Combine like terms: -1y + y = 0 0 = 5 + -1a + y Simplifying 0 = 5 + -1a + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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