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Simplifying 5x + -17 = -17 + -1x + 7thenx Reorder the terms: -17 + 5x = -17 + -1x + 7thenx Reorder the terms: -17 + 5x = -17 + 7ehntx + -1x Add '17' to each side of the equation. -17 + 17 + 5x = -17 + 7ehntx + 17 + -1x Combine like terms: -17 + 17 = 0 0 + 5x = -17 + 7ehntx + 17 + -1x 5x = -17 + 7ehntx + 17 + -1x Reorder the terms: 5x = -17 + 17 + 7ehntx + -1x Combine like terms: -17 + 17 = 0 5x = 0 + 7ehntx + -1x 5x = 7ehntx + -1x Solving 5x = 7ehntx + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7ehntx' to each side of the equation. -7ehntx + 5x = 7ehntx + -7ehntx + -1x Combine like terms: 7ehntx + -7ehntx = 0 -7ehntx + 5x = 0 + -1x -7ehntx + 5x = -1x Add 'x' to each side of the equation. -7ehntx + 5x + x = -1x + x Combine like terms: 5x + x = 6x -7ehntx + 6x = -1x + x Combine like terms: -1x + x = 0 -7ehntx + 6x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-7ehnt + 6) = 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 '(-7ehnt + 6)' equal to zero and attempt to solve: Simplifying -7ehnt + 6 = 0 Reorder the terms: 6 + -7ehnt = 0 Solving 6 + -7ehnt = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7ehnt = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7ehnt = 0 + -6 -7ehnt = 0 + -6 Combine like terms: 0 + -6 = -6 -7ehnt = -6 Add '7ehnt' to each side of the equation. -7ehnt + 7ehnt = -6 + 7ehnt Combine like terms: -7ehnt + 7ehnt = 0 0 = -6 + 7ehnt Simplifying 0 = -6 + 7ehnt 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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