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Simplifying 10x = 6x + 2Whatisx Reorder the terms: 10x = 2ahistxW + 6x Solving 10x = 2ahistxW + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2ahistxW' to each side of the equation. -2ahistxW + 10x = 2ahistxW + -2ahistxW + 6x Combine like terms: 2ahistxW + -2ahistxW = 0 -2ahistxW + 10x = 0 + 6x -2ahistxW + 10x = 6x Add '-6x' to each side of the equation. -2ahistxW + 10x + -6x = 6x + -6x Combine like terms: 10x + -6x = 4x -2ahistxW + 4x = 6x + -6x Combine like terms: 6x + -6x = 0 -2ahistxW + 4x = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1ahistW + 2) = 0 Ignore the factor 2.Subproblem 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 '(-1ahistW + 2)' equal to zero and attempt to solve: Simplifying -1ahistW + 2 = 0 Reorder the terms: 2 + -1ahistW = 0 Solving 2 + -1ahistW = 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 + -1ahistW = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1ahistW = 0 + -2 -1ahistW = 0 + -2 Combine like terms: 0 + -2 = -2 -1ahistW = -2 Add 'ahistW' to each side of the equation. -1ahistW + ahistW = -2 + ahistW Combine like terms: -1ahistW + ahistW = 0 0 = -2 + ahistW Simplifying 0 = -2 + ahistW 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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