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Simplifying 3(2x + 1) * 5(3y + -4) = -17 Reorder the terms: 3(1 + 2x) * 5(3y + -4) = -17 Reorder the terms: 3(1 + 2x) * 5(-4 + 3y) = -17 Reorder the terms for easier multiplication: 3 * 5(1 + 2x)(-4 + 3y) = -17 Multiply 3 * 5 15(1 + 2x)(-4 + 3y) = -17 Multiply (1 + 2x) * (-4 + 3y) 15(1(-4 + 3y) + 2x * (-4 + 3y)) = -17 15((-4 * 1 + 3y * 1) + 2x * (-4 + 3y)) = -17 15((-4 + 3y) + 2x * (-4 + 3y)) = -17 15(-4 + 3y + (-4 * 2x + 3y * 2x)) = -17 15(-4 + 3y + (-8x + 6xy)) = -17 Reorder the terms: 15(-4 + -8x + 6xy + 3y) = -17 15(-4 + -8x + 6xy + 3y) = -17 (-4 * 15 + -8x * 15 + 6xy * 15 + 3y * 15) = -17 (-60 + -120x + 90xy + 45y) = -17 Solving -60 + -120x + 90xy + 45y = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + -120x + 90xy + 60 + 45y = -17 + 60 Reorder the terms: -60 + 60 + -120x + 90xy + 45y = -17 + 60 Combine like terms: -60 + 60 = 0 0 + -120x + 90xy + 45y = -17 + 60 -120x + 90xy + 45y = -17 + 60 Combine like terms: -17 + 60 = 43 -120x + 90xy + 45y = 43 Add '-45y' to each side of the equation. -120x + 90xy + 45y + -45y = 43 + -45y Combine like terms: 45y + -45y = 0 -120x + 90xy + 0 = 43 + -45y -120x + 90xy = 43 + -45y Reorder the terms: -43 + -120x + 90xy + 45y = 43 + -45y + -43 + 45y Reorder the terms: -43 + -120x + 90xy + 45y = 43 + -43 + -45y + 45y Combine like terms: 43 + -43 = 0 -43 + -120x + 90xy + 45y = 0 + -45y + 45y -43 + -120x + 90xy + 45y = -45y + 45y Combine like terms: -45y + 45y = 0 -43 + -120x + 90xy + 45y = 0 The solution to this equation could not be determined.
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