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Simplifying 6x + -3(y + -3x) + 2(5x + -1y) = 0 Reorder the terms: 6x + -3(-3x + y) + 2(5x + -1y) = 0 6x + (-3x * -3 + y * -3) + 2(5x + -1y) = 0 6x + (9x + -3y) + 2(5x + -1y) = 0 6x + 9x + -3y + (5x * 2 + -1y * 2) = 0 6x + 9x + -3y + (10x + -2y) = 0 Reorder the terms: 6x + 9x + 10x + -3y + -2y = 0 Combine like terms: 6x + 9x = 15x 15x + 10x + -3y + -2y = 0 Combine like terms: 15x + 10x = 25x 25x + -3y + -2y = 0 Combine like terms: -3y + -2y = -5y 25x + -5y = 0 Solving 25x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 25x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 25x + 0 = 0 + 5y 25x = 0 + 5y Remove the zero: 25x = 5y Divide each side by '25'. x = 0.2y Simplifying x = 0.2y
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