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Simplifying x + a + 2 = 2ax + -3(a + x) + -2(a + -5) Reorder the terms: 2 + a + x = 2ax + -3(a + x) + -2(a + -5) 2 + a + x = 2ax + (a * -3 + x * -3) + -2(a + -5) 2 + a + x = 2ax + (-3a + -3x) + -2(a + -5) Reorder the terms: 2 + a + x = 2ax + -3a + -3x + -2(-5 + a) 2 + a + x = 2ax + -3a + -3x + (-5 * -2 + a * -2) 2 + a + x = 2ax + -3a + -3x + (10 + -2a) Reorder the terms: 2 + a + x = 10 + -3a + -2a + 2ax + -3x Combine like terms: -3a + -2a = -5a 2 + a + x = 10 + -5a + 2ax + -3x Solving 2 + a + x = 10 + -5a + 2ax + -3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 2 + a + 5a + x = 10 + -5a + 2ax + 5a + -3x Combine like terms: a + 5a = 6a 2 + 6a + x = 10 + -5a + 2ax + 5a + -3x Reorder the terms: 2 + 6a + x = 10 + -5a + 5a + 2ax + -3x Combine like terms: -5a + 5a = 0 2 + 6a + x = 10 + 0 + 2ax + -3x 2 + 6a + x = 10 + 2ax + -3x Add '-2ax' to each side of the equation. 2 + 6a + -2ax + x = 10 + 2ax + -2ax + -3x Combine like terms: 2ax + -2ax = 0 2 + 6a + -2ax + x = 10 + 0 + -3x 2 + 6a + -2ax + x = 10 + -3x Add '-2' to each side of the equation. 2 + 6a + -2ax + -2 + x = 10 + -2 + -3x Reorder the terms: 2 + -2 + 6a + -2ax + x = 10 + -2 + -3x Combine like terms: 2 + -2 = 0 0 + 6a + -2ax + x = 10 + -2 + -3x 6a + -2ax + x = 10 + -2 + -3x Combine like terms: 10 + -2 = 8 6a + -2ax + x = 8 + -3x Add '-1x' to each side of the equation. 6a + -2ax + x + -1x = 8 + -3x + -1x Combine like terms: x + -1x = 0 6a + -2ax + 0 = 8 + -3x + -1x 6a + -2ax = 8 + -3x + -1x Combine like terms: -3x + -1x = -4x 6a + -2ax = 8 + -4x Reorder the terms: -8 + 6a + -2ax + 4x = 8 + -4x + -8 + 4x Reorder the terms: -8 + 6a + -2ax + 4x = 8 + -8 + -4x + 4x Combine like terms: 8 + -8 = 0 -8 + 6a + -2ax + 4x = 0 + -4x + 4x -8 + 6a + -2ax + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 6a + -2ax + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 3a + -1ax + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 3a + -1ax + 2x)' equal to zero and attempt to solve: Simplifying -4 + 3a + -1ax + 2x = 0 Solving -4 + 3a + -1ax + 2x = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3a + -1ax + 4 + 2x = 0 + 4 Reorder the terms: -4 + 4 + 3a + -1ax + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3a + -1ax + 2x = 0 + 4 3a + -1ax + 2x = 0 + 4 Combine like terms: 0 + 4 = 4 3a + -1ax + 2x = 4 Add '-2x' to each side of the equation. 3a + -1ax + 2x + -2x = 4 + -2x Combine like terms: 2x + -2x = 0 3a + -1ax + 0 = 4 + -2x 3a + -1ax = 4 + -2x 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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