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Simplifying -2x(13 + 3y) + -3y = 19 (13 * -2x + 3y * -2x) + -3y = 19 (-26x + -6xy) + -3y = 19 Solving -26x + -6xy + -3y = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. -26x + -6xy + -3y + 3y = 19 + 3y Combine like terms: -3y + 3y = 0 -26x + -6xy + 0 = 19 + 3y -26x + -6xy = 19 + 3y Reorder the terms: -19 + -26x + -6xy + -3y = 19 + 3y + -19 + -3y Reorder the terms: -19 + -26x + -6xy + -3y = 19 + -19 + 3y + -3y Combine like terms: 19 + -19 = 0 -19 + -26x + -6xy + -3y = 0 + 3y + -3y -19 + -26x + -6xy + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 -19 + -26x + -6xy + -3y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(19 + 26x + 6xy + 3y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(19 + 26x + 6xy + 3y)' equal to zero and attempt to solve: Simplifying 19 + 26x + 6xy + 3y = 0 Solving 19 + 26x + 6xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + 26x + 6xy + -19 + 3y = 0 + -19 Reorder the terms: 19 + -19 + 26x + 6xy + 3y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 26x + 6xy + 3y = 0 + -19 26x + 6xy + 3y = 0 + -19 Combine like terms: 0 + -19 = -19 26x + 6xy + 3y = -19 Add '-3y' to each side of the equation. 26x + 6xy + 3y + -3y = -19 + -3y Combine like terms: 3y + -3y = 0 26x + 6xy + 0 = -19 + -3y 26x + 6xy = -19 + -3y 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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