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