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Simplifying 8x + 2x = 15x + -10whatisx Combine like terms: 8x + 2x = 10x 10x = 15x + -10whatisx Reorder the terms: 10x = -10ahistwx + 15x Solving 10x = -10ahistwx + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10ahistwx' to each side of the equation. 10ahistwx + 10x = -10ahistwx + 10ahistwx + 15x Combine like terms: -10ahistwx + 10ahistwx = 0 10ahistwx + 10x = 0 + 15x 10ahistwx + 10x = 15x Add '-15x' to each side of the equation. 10ahistwx + 10x + -15x = 15x + -15x Combine like terms: 10x + -15x = -5x 10ahistwx + -5x = 15x + -15x Combine like terms: 15x + -15x = 0 10ahistwx + -5x = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(2ahistw + -1) = 0 Ignore the factor 5.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 '(2ahistw + -1)' equal to zero and attempt to solve: Simplifying 2ahistw + -1 = 0 Reorder the terms: -1 + 2ahistw = 0 Solving -1 + 2ahistw = 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 + 2ahistw = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2ahistw = 0 + 1 2ahistw = 0 + 1 Combine like terms: 0 + 1 = 1 2ahistw = 1 Add '-2ahistw' to each side of the equation. 2ahistw + -2ahistw = 1 + -2ahistw Combine like terms: 2ahistw + -2ahistw = 0 0 = 1 + -2ahistw Simplifying 0 = 1 + -2ahistw 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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