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Simplifying 2y(5x + -7y) + -6yX + 6 = 45 (5x * 2y + -7y * 2y) + -6yX + 6 = 45 (10xy + -14y2) + -6yX + 6 = 45 Reorder the terms: 6 + 10xy + -6yX + -14y2 = 45 Solving 6 + 10xy + -6yX + -14y2 = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 10xy + -6yX + -6 + -14y2 = 45 + -6 Reorder the terms: 6 + -6 + 10xy + -6yX + -14y2 = 45 + -6 Combine like terms: 6 + -6 = 0 0 + 10xy + -6yX + -14y2 = 45 + -6 10xy + -6yX + -14y2 = 45 + -6 Combine like terms: 45 + -6 = 39 10xy + -6yX + -14y2 = 39 Add '6yX' to each side of the equation. 10xy + -6yX + 6yX + -14y2 = 39 + 6yX Combine like terms: -6yX + 6yX = 0 10xy + 0 + -14y2 = 39 + 6yX 10xy + -14y2 = 39 + 6yX Add '14y2' to each side of the equation. 10xy + -14y2 + 14y2 = 39 + 6yX + 14y2 Combine like terms: -14y2 + 14y2 = 0 10xy + 0 = 39 + 6yX + 14y2 10xy = 39 + 6yX + 14y2 Divide each side by '10y'. x = 3.9y-1 + 0.6X + 1.4y Simplifying x = 3.9y-1 + 0.6X + 1.4y Reorder the terms: x = 0.6X + 3.9y-1 + 1.4y
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