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Simplifying x(y + -2) + -1y(x + -3) = 14y(x + -6) + -1x(y + 9) * 54 Reorder the terms: x(-2 + y) + -1y(x + -3) = 14y(x + -6) + -1x(y + 9) * 54 (-2 * x + y * x) + -1y(x + -3) = 14y(x + -6) + -1x(y + 9) * 54 (-2x + xy) + -1y(x + -3) = 14y(x + -6) + -1x(y + 9) * 54 Reorder the terms: -2x + xy + -1y(-3 + x) = 14y(x + -6) + -1x(y + 9) * 54 -2x + xy + (-3 * -1y + x * -1y) = 14y(x + -6) + -1x(y + 9) * 54 Reorder the terms: -2x + xy + (-1xy + 3y) = 14y(x + -6) + -1x(y + 9) * 54 -2x + xy + (-1xy + 3y) = 14y(x + -6) + -1x(y + 9) * 54 Combine like terms: xy + -1xy = 0 -2x + 0 + 3y = 14y(x + -6) + -1x(y + 9) * 54 -2x + 3y = 14y(x + -6) + -1x(y + 9) * 54 Reorder the terms: -2x + 3y = 14y(-6 + x) + -1x(y + 9) * 54 -2x + 3y = (-6 * 14y + x * 14y) + -1x(y + 9) * 54 Reorder the terms: -2x + 3y = (14xy + -84y) + -1x(y + 9) * 54 -2x + 3y = (14xy + -84y) + -1x(y + 9) * 54 Reorder the terms: -2x + 3y = 14xy + -84y + -1x(9 + y) * 54 Reorder the terms for easier multiplication: -2x + 3y = 14xy + -84y + -1 * 54x(9 + y) Multiply -1 * 54 -2x + 3y = 14xy + -84y + -54x(9 + y) -2x + 3y = 14xy + -84y + (9 * -54x + y * -54x) -2x + 3y = 14xy + -84y + (-486x + -54xy) Reorder the terms: -2x + 3y = -486x + 14xy + -54xy + -84y Combine like terms: 14xy + -54xy = -40xy -2x + 3y = -486x + -40xy + -84y Solving -2x + 3y = -486x + -40xy + -84y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '486x' to each side of the equation. -2x + 486x + 3y = -486x + -40xy + 486x + -84y Combine like terms: -2x + 486x = 484x 484x + 3y = -486x + -40xy + 486x + -84y Reorder the terms: 484x + 3y = -486x + 486x + -40xy + -84y Combine like terms: -486x + 486x = 0 484x + 3y = 0 + -40xy + -84y 484x + 3y = -40xy + -84y Add '40xy' to each side of the equation. 484x + 40xy + 3y = -40xy + 40xy + -84y Combine like terms: -40xy + 40xy = 0 484x + 40xy + 3y = 0 + -84y 484x + 40xy + 3y = -84y Add '-3y' to each side of the equation. 484x + 40xy + 3y + -3y = -84y + -3y Combine like terms: 3y + -3y = 0 484x + 40xy + 0 = -84y + -3y 484x + 40xy = -84y + -3y Combine like terms: -84y + -3y = -87y 484x + 40xy = -87y Combine like terms: -87y + 87y = 0 484x + 40xy + 87y = 0 The solution to this equation could not be determined.
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