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Simplifying 3(5x + -2y) + -1(4x + 3y) = 0 (5x * 3 + -2y * 3) + -1(4x + 3y) = 0 (15x + -6y) + -1(4x + 3y) = 0 15x + -6y + (4x * -1 + 3y * -1) = 0 15x + -6y + (-4x + -3y) = 0 Reorder the terms: 15x + -4x + -6y + -3y = 0 Combine like terms: 15x + -4x = 11x 11x + -6y + -3y = 0 Combine like terms: -6y + -3y = -9y 11x + -9y = 0 Solving 11x + -9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 11x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 11x + 0 = 0 + 9y 11x = 0 + 9y Remove the zero: 11x = 9y Divide each side by '11'. x = 0.8181818182y Simplifying x = 0.8181818182y
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