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Simplifying 2x + 8 = 68 + -4xd Reorder the terms: 8 + 2x = 68 + -4xd Solving 8 + 2x = 68 + -4dx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4dx' to each side of the equation. 8 + 4dx + 2x = 68 + -4dx + 4dx Combine like terms: -4dx + 4dx = 0 8 + 4dx + 2x = 68 + 0 8 + 4dx + 2x = 68 Add '-8' to each side of the equation. 8 + 4dx + -8 + 2x = 68 + -8 Reorder the terms: 8 + -8 + 4dx + 2x = 68 + -8 Combine like terms: 8 + -8 = 0 0 + 4dx + 2x = 68 + -8 4dx + 2x = 68 + -8 Combine like terms: 68 + -8 = 60 4dx + 2x = 60 Reorder the terms: -60 + 4dx + 2x = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 4dx + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + 2dx + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-30 + 2dx + x)' equal to zero and attempt to solve: Simplifying -30 + 2dx + x = 0 Solving -30 + 2dx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 2dx + 30 + x = 0 + 30 Reorder the terms: -30 + 30 + 2dx + x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 2dx + x = 0 + 30 2dx + x = 0 + 30 Combine like terms: 0 + 30 = 30 2dx + x = 30 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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