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