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