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Simplifying 3x(-2 + 7y) = 6 + 9x(3 + -1y) (-2 * 3x + 7y * 3x) = 6 + 9x(3 + -1y) (-6x + 21xy) = 6 + 9x(3 + -1y) -6x + 21xy = 6 + (3 * 9x + -1y * 9x) -6x + 21xy = 6 + (27x + -9xy) Solving -6x + 21xy = 6 + 27x + -9xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -6x + -27x + 21xy = 6 + 27x + -27x + -9xy Combine like terms: -6x + -27x = -33x -33x + 21xy = 6 + 27x + -27x + -9xy Combine like terms: 27x + -27x = 0 -33x + 21xy = 6 + 0 + -9xy -33x + 21xy = 6 + -9xy Add '9xy' to each side of the equation. -33x + 21xy + 9xy = 6 + -9xy + 9xy Combine like terms: 21xy + 9xy = 30xy -33x + 30xy = 6 + -9xy + 9xy Combine like terms: -9xy + 9xy = 0 -33x + 30xy = 6 + 0 -33x + 30xy = 6 Reorder the terms: -6 + -33x + 30xy = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -33x + 30xy = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + -11x + 10xy) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -11x + 10xy)' equal to zero and attempt to solve: Simplifying -2 + -11x + 10xy = 0 Solving -2 + -11x + 10xy = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -11x + 2 + 10xy = 0 + 2 Reorder the terms: -2 + 2 + -11x + 10xy = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -11x + 10xy = 0 + 2 -11x + 10xy = 0 + 2 Combine like terms: 0 + 2 = 2 -11x + 10xy = 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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