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