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Simplifying mod(x + -2) + mod(x + -3) = mod(x + 4) Reorder the terms: dmo(-2 + x) + mod(x + -3) = mod(x + 4) (-2 * dmo + x * dmo) + mod(x + -3) = mod(x + 4) (-2dmo + dmox) + mod(x + -3) = mod(x + 4) Reorder the terms: -2dmo + dmox + dmo(-3 + x) = mod(x + 4) -2dmo + dmox + (-3 * dmo + x * dmo) = mod(x + 4) -2dmo + dmox + (-3dmo + dmox) = mod(x + 4) Reorder the terms: -2dmo + -3dmo + dmox + dmox = mod(x + 4) Combine like terms: -2dmo + -3dmo = -5dmo -5dmo + dmox + dmox = mod(x + 4) Combine like terms: dmox + dmox = 2dmox -5dmo + 2dmox = mod(x + 4) Reorder the terms: -5dmo + 2dmox = dmo(4 + x) -5dmo + 2dmox = (4 * dmo + x * dmo) -5dmo + 2dmox = (4dmo + dmox) Solving -5dmo + 2dmox = 4dmo + dmox Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4dmo' to each side of the equation. -5dmo + -4dmo + 2dmox = 4dmo + -4dmo + dmox Combine like terms: -5dmo + -4dmo = -9dmo -9dmo + 2dmox = 4dmo + -4dmo + dmox Combine like terms: 4dmo + -4dmo = 0 -9dmo + 2dmox = 0 + dmox -9dmo + 2dmox = dmox Add '-1dmox' to each side of the equation. -9dmo + 2dmox + -1dmox = dmox + -1dmox Combine like terms: 2dmox + -1dmox = 1dmox -9dmo + 1dmox = dmox + -1dmox Combine like terms: dmox + -1dmox = 0 -9dmo + 1dmox = 0 Factor out the Greatest Common Factor (GCF), 'dmo'. dmo(-9 + x) = 0Subproblem 1
Set the factor 'dmo' equal to zero and attempt to solve: Simplifying dmo = 0 Solving dmo = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dmo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing d to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Add '-1x' to each side of the equation. x + -1x = 9 + -1x Combine like terms: x + -1x = 0 0 = 9 + -1x Simplifying 0 = 9 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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