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Simplifying 665 = a + 31 + a + 4xa + -32 Reorder the terms: 665 = 31 + -32 + a + a + 4ax Combine like terms: 31 + -32 = -1 665 = -1 + a + a + 4ax Combine like terms: a + a = 2a 665 = -1 + 2a + 4ax Solving 665 = -1 + 2a + 4ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 665 + -2a = -1 + 2a + -2a + 4ax Combine like terms: 2a + -2a = 0 665 + -2a = -1 + 0 + 4ax 665 + -2a = -1 + 4ax Add '-4ax' to each side of the equation. 665 + -2a + -4ax = -1 + 4ax + -4ax Combine like terms: 4ax + -4ax = 0 665 + -2a + -4ax = -1 + 0 665 + -2a + -4ax = -1 Add '-665' to each side of the equation. 665 + -2a + -665 + -4ax = -1 + -665 Reorder the terms: 665 + -665 + -2a + -4ax = -1 + -665 Combine like terms: 665 + -665 = 0 0 + -2a + -4ax = -1 + -665 -2a + -4ax = -1 + -665 Combine like terms: -1 + -665 = -666 -2a + -4ax = -666 Reorder the terms: 666 + -2a + -4ax = -666 + 666 Combine like terms: -666 + 666 = 0 666 + -2a + -4ax = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(333 + -1a + -2ax) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(333 + -1a + -2ax)' equal to zero and attempt to solve: Simplifying 333 + -1a + -2ax = 0 Solving 333 + -1a + -2ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-333' to each side of the equation. 333 + -1a + -333 + -2ax = 0 + -333 Reorder the terms: 333 + -333 + -1a + -2ax = 0 + -333 Combine like terms: 333 + -333 = 0 0 + -1a + -2ax = 0 + -333 -1a + -2ax = 0 + -333 Combine like terms: 0 + -333 = -333 -1a + -2ax = -333 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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