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Simplifying 7xy + -1x = x Reorder the terms: -1x + 7xy = x Solving -1x + 7xy = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1x + -1x + 7xy = x + -1x Combine like terms: -1x + -1x = -2x -2x + 7xy = x + -1x Combine like terms: x + -1x = 0 -2x + 7xy = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 7y) = 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 '(-2 + 7y)' equal to zero and attempt to solve: Simplifying -2 + 7y = 0 Solving -2 + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7y = 0 + 2 7y = 0 + 2 Combine like terms: 0 + 2 = 2 7y = 2 Add '-7y' to each side of the equation. 7y + -7y = 2 + -7y Combine like terms: 7y + -7y = 0 0 = 2 + -7y Simplifying 0 = 2 + -7y 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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