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Simplifying 16x = 6x + 100whatisx Reorder the terms: 16x = 100ahistwx + 6x Solving 16x = 100ahistwx + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100ahistwx' to each side of the equation. -100ahistwx + 16x = 100ahistwx + -100ahistwx + 6x Combine like terms: 100ahistwx + -100ahistwx = 0 -100ahistwx + 16x = 0 + 6x -100ahistwx + 16x = 6x Add '-6x' to each side of the equation. -100ahistwx + 16x + -6x = 6x + -6x Combine like terms: 16x + -6x = 10x -100ahistwx + 10x = 6x + -6x Combine like terms: 6x + -6x = 0 -100ahistwx + 10x = 0 Factor out the Greatest Common Factor (GCF), '10x'. 10x(-10ahistw + 1) = 0 Ignore the factor 10.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 '(-10ahistw + 1)' equal to zero and attempt to solve: Simplifying -10ahistw + 1 = 0 Reorder the terms: 1 + -10ahistw = 0 Solving 1 + -10ahistw = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10ahistw = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10ahistw = 0 + -1 -10ahistw = 0 + -1 Combine like terms: 0 + -1 = -1 -10ahistw = -1 Add '10ahistw' to each side of the equation. -10ahistw + 10ahistw = -1 + 10ahistw Combine like terms: -10ahistw + 10ahistw = 0 0 = -1 + 10ahistw Simplifying 0 = -1 + 10ahistw 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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