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Simplifying (2x + 3)(3y + -7) = 0 Reorder the terms: (3 + 2x)(3y + -7) = 0 Reorder the terms: (3 + 2x)(-7 + 3y) = 0 Multiply (3 + 2x) * (-7 + 3y) (3(-7 + 3y) + 2x * (-7 + 3y)) = 0 ((-7 * 3 + 3y * 3) + 2x * (-7 + 3y)) = 0 ((-21 + 9y) + 2x * (-7 + 3y)) = 0 (-21 + 9y + (-7 * 2x + 3y * 2x)) = 0 (-21 + 9y + (-14x + 6xy)) = 0 Reorder the terms: (-21 + -14x + 6xy + 9y) = 0 (-21 + -14x + 6xy + 9y) = 0 Solving -21 + -14x + 6xy + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -14x + 6xy + 21 + 9y = 0 + 21 Reorder the terms: -21 + 21 + -14x + 6xy + 9y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -14x + 6xy + 9y = 0 + 21 -14x + 6xy + 9y = 0 + 21 Combine like terms: 0 + 21 = 21 -14x + 6xy + 9y = 21 Add '-9y' to each side of the equation. -14x + 6xy + 9y + -9y = 21 + -9y Combine like terms: 9y + -9y = 0 -14x + 6xy + 0 = 21 + -9y -14x + 6xy = 21 + -9y Reorder the terms: -21 + -14x + 6xy + 9y = 21 + -9y + -21 + 9y Reorder the terms: -21 + -14x + 6xy + 9y = 21 + -21 + -9y + 9y Combine like terms: 21 + -21 = 0 -21 + -14x + 6xy + 9y = 0 + -9y + 9y -21 + -14x + 6xy + 9y = -9y + 9y Combine like terms: -9y + 9y = 0 -21 + -14x + 6xy + 9y = 0 The solution to this equation could not be determined.
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