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Simplifying 9x + 18 = 6y + -3xfory Reorder the terms: 18 + 9x = 6y + -3xfory Reorder the terms: 18 + 9x = -3forxy + 6y Solving 18 + 9x = -3forxy + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3forxy' to each side of the equation. 18 + 3forxy + 9x = -3forxy + 3forxy + 6y Combine like terms: -3forxy + 3forxy = 0 18 + 3forxy + 9x = 0 + 6y 18 + 3forxy + 9x = 6y Add '-18' to each side of the equation. 18 + 3forxy + -18 + 9x = -18 + 6y Reorder the terms: 18 + -18 + 3forxy + 9x = -18 + 6y Combine like terms: 18 + -18 = 0 0 + 3forxy + 9x = -18 + 6y 3forxy + 9x = -18 + 6y Reorder the terms: 18 + 3forxy + 9x + -6y = -18 + 6y + 18 + -6y Reorder the terms: 18 + 3forxy + 9x + -6y = -18 + 18 + 6y + -6y Combine like terms: -18 + 18 = 0 18 + 3forxy + 9x + -6y = 0 + 6y + -6y 18 + 3forxy + 9x + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 18 + 3forxy + 9x + -6y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + forxy + 3x + -2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + forxy + 3x + -2y)' equal to zero and attempt to solve: Simplifying 6 + forxy + 3x + -2y = 0 Solving 6 + forxy + 3x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + forxy + 3x + -6 + -2y = 0 + -6 Reorder the terms: 6 + -6 + forxy + 3x + -2y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + forxy + 3x + -2y = 0 + -6 forxy + 3x + -2y = 0 + -6 Combine like terms: 0 + -6 = -6 forxy + 3x + -2y = -6 Add '2y' to each side of the equation. forxy + 3x + -2y + 2y = -6 + 2y Combine like terms: -2y + 2y = 0 forxy + 3x + 0 = -6 + 2y forxy + 3x = -6 + 2y 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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