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Simplifying mod(2x + 3) + mod(x + -1) = mod(x + -2) Reorder the terms: dmo(3 + 2x) + mod(x + -1) = mod(x + -2) (3 * dmo + 2x * dmo) + mod(x + -1) = mod(x + -2) (3dmo + 2dmox) + mod(x + -1) = mod(x + -2) Reorder the terms: 3dmo + 2dmox + dmo(-1 + x) = mod(x + -2) 3dmo + 2dmox + (-1 * dmo + x * dmo) = mod(x + -2) 3dmo + 2dmox + (-1dmo + dmox) = mod(x + -2) Reorder the terms: 3dmo + -1dmo + 2dmox + dmox = mod(x + -2) Combine like terms: 3dmo + -1dmo = 2dmo 2dmo + 2dmox + dmox = mod(x + -2) Combine like terms: 2dmox + dmox = 3dmox 2dmo + 3dmox = mod(x + -2) Reorder the terms: 2dmo + 3dmox = dmo(-2 + x) 2dmo + 3dmox = (-2 * dmo + x * dmo) 2dmo + 3dmox = (-2dmo + dmox) Solving 2dmo + 3dmox = -2dmo + dmox Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2dmo' to each side of the equation. 2dmo + 2dmo + 3dmox = -2dmo + 2dmo + dmox Combine like terms: 2dmo + 2dmo = 4dmo 4dmo + 3dmox = -2dmo + 2dmo + dmox Combine like terms: -2dmo + 2dmo = 0 4dmo + 3dmox = 0 + dmox 4dmo + 3dmox = dmox Add '-1dmox' to each side of the equation. 4dmo + 3dmox + -1dmox = dmox + -1dmox Combine like terms: 3dmox + -1dmox = 2dmox 4dmo + 2dmox = dmox + -1dmox Combine like terms: dmox + -1dmox = 0 4dmo + 2dmox = 0 Factor out the Greatest Common Factor (GCF), '2dmo'. 2dmo(2 + x) = 0 Ignore the factor 2.Subproblem 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -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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