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Simplifying 7x + -8a = 3x + 24aforx Reorder the terms: -8a + 7x = 3x + 24aforx Reorder the terms: -8a + 7x = 24aforx + 3x Solving -8a + 7x = 24aforx + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24aforx' to each side of the equation. -8a + -24aforx + 7x = 24aforx + -24aforx + 3x Combine like terms: 24aforx + -24aforx = 0 -8a + -24aforx + 7x = 0 + 3x -8a + -24aforx + 7x = 3x Add '-7x' to each side of the equation. -8a + -24aforx + 7x + -7x = 3x + -7x Combine like terms: 7x + -7x = 0 -8a + -24aforx + 0 = 3x + -7x -8a + -24aforx = 3x + -7x Combine like terms: 3x + -7x = -4x -8a + -24aforx = -4x Combine like terms: -4x + 4x = 0 -8a + -24aforx + 4x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2a + -6aforx + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2a + -6aforx + x)' equal to zero and attempt to solve: Simplifying -2a + -6aforx + x = 0 Solving -2a + -6aforx + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. -2a + -6aforx + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -2a + -6aforx + 0 = 0 + -1x -2a + -6aforx = 0 + -1x Remove the zero: -2a + -6aforx = -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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