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Simplifying 2(x + 3y) + -5(3x + -1y) = 0 (x * 2 + 3y * 2) + -5(3x + -1y) = 0 (2x + 6y) + -5(3x + -1y) = 0 2x + 6y + (3x * -5 + -1y * -5) = 0 2x + 6y + (-15x + 5y) = 0 Reorder the terms: 2x + -15x + 6y + 5y = 0 Combine like terms: 2x + -15x = -13x -13x + 6y + 5y = 0 Combine like terms: 6y + 5y = 11y -13x + 11y = 0 Solving -13x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. -13x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 -13x + 0 = 0 + -11y -13x = 0 + -11y Remove the zero: -13x = -11y Divide each side by '-13'. x = 0.8461538462y Simplifying x = 0.8461538462y
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