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Simplifying 8x = 5x + 7whatisx Reorder the terms: 8x = 7ahistwx + 5x Solving 8x = 7ahistwx + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7ahistwx' to each side of the equation. -7ahistwx + 8x = 7ahistwx + -7ahistwx + 5x Combine like terms: 7ahistwx + -7ahistwx = 0 -7ahistwx + 8x = 0 + 5x -7ahistwx + 8x = 5x Add '-5x' to each side of the equation. -7ahistwx + 8x + -5x = 5x + -5x Combine like terms: 8x + -5x = 3x -7ahistwx + 3x = 5x + -5x Combine like terms: 5x + -5x = 0 -7ahistwx + 3x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-7ahistw + 3) = 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 '(-7ahistw + 3)' equal to zero and attempt to solve: Simplifying -7ahistw + 3 = 0 Reorder the terms: 3 + -7ahistw = 0 Solving 3 + -7ahistw = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7ahistw = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7ahistw = 0 + -3 -7ahistw = 0 + -3 Combine like terms: 0 + -3 = -3 -7ahistw = -3 Add '7ahistw' to each side of the equation. -7ahistw + 7ahistw = -3 + 7ahistw Combine like terms: -7ahistw + 7ahistw = 0 0 = -3 + 7ahistw Simplifying 0 = -3 + 7ahistw 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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