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Simplifying -7x + -3y(2x + 13) = 3 Reorder the terms: -7x + -3y(13 + 2x) = 3 -7x + (13 * -3y + 2x * -3y) = 3 Reorder the terms: -7x + (-6xy + -39y) = 3 -7x + (-6xy + -39y) = 3 Solving -7x + -6xy + -39y = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39y' to each side of the equation. -7x + -6xy + -39y + 39y = 3 + 39y Combine like terms: -39y + 39y = 0 -7x + -6xy + 0 = 3 + 39y -7x + -6xy = 3 + 39y Reorder the terms: -3 + -7x + -6xy + -39y = 3 + 39y + -3 + -39y Reorder the terms: -3 + -7x + -6xy + -39y = 3 + -3 + 39y + -39y Combine like terms: 3 + -3 = 0 -3 + -7x + -6xy + -39y = 0 + 39y + -39y -3 + -7x + -6xy + -39y = 39y + -39y Combine like terms: 39y + -39y = 0 -3 + -7x + -6xy + -39y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 7x + 6xy + 39y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 7x + 6xy + 39y)' equal to zero and attempt to solve: Simplifying 3 + 7x + 6xy + 39y = 0 Solving 3 + 7x + 6xy + 39y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 7x + 6xy + -3 + 39y = 0 + -3 Reorder the terms: 3 + -3 + 7x + 6xy + 39y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x + 6xy + 39y = 0 + -3 7x + 6xy + 39y = 0 + -3 Combine like terms: 0 + -3 = -3 7x + 6xy + 39y = -3 Add '-39y' to each side of the equation. 7x + 6xy + 39y + -39y = -3 + -39y Combine like terms: 39y + -39y = 0 7x + 6xy + 0 = -3 + -39y 7x + 6xy = -3 + -39y 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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