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Simplifying (x + 4)(3y + -2) = 0 Reorder the terms: (4 + x)(3y + -2) = 0 Reorder the terms: (4 + x)(-2 + 3y) = 0 Multiply (4 + x) * (-2 + 3y) (4(-2 + 3y) + x(-2 + 3y)) = 0 ((-2 * 4 + 3y * 4) + x(-2 + 3y)) = 0 ((-8 + 12y) + x(-2 + 3y)) = 0 (-8 + 12y + (-2 * x + 3y * x)) = 0 (-8 + 12y + (-2x + 3xy)) = 0 Reorder the terms: (-8 + -2x + 3xy + 12y) = 0 (-8 + -2x + 3xy + 12y) = 0 Solving -8 + -2x + 3xy + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -2x + 3xy + 8 + 12y = 0 + 8 Reorder the terms: -8 + 8 + -2x + 3xy + 12y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2x + 3xy + 12y = 0 + 8 -2x + 3xy + 12y = 0 + 8 Combine like terms: 0 + 8 = 8 -2x + 3xy + 12y = 8 Add '-12y' to each side of the equation. -2x + 3xy + 12y + -12y = 8 + -12y Combine like terms: 12y + -12y = 0 -2x + 3xy + 0 = 8 + -12y -2x + 3xy = 8 + -12y Reorder the terms: -8 + -2x + 3xy + 12y = 8 + -12y + -8 + 12y Reorder the terms: -8 + -2x + 3xy + 12y = 8 + -8 + -12y + 12y Combine like terms: 8 + -8 = 0 -8 + -2x + 3xy + 12y = 0 + -12y + 12y -8 + -2x + 3xy + 12y = -12y + 12y Combine like terms: -12y + 12y = 0 -8 + -2x + 3xy + 12y = 0 The solution to this equation could not be determined.
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