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