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Simplifying -3(-5x + -1y) + -5(2y + -3x) = 0 (-5x * -3 + -1y * -3) + -5(2y + -3x) = 0 (15x + 3y) + -5(2y + -3x) = 0 Reorder the terms: 15x + 3y + -5(-3x + 2y) = 0 15x + 3y + (-3x * -5 + 2y * -5) = 0 15x + 3y + (15x + -10y) = 0 Reorder the terms: 15x + 15x + 3y + -10y = 0 Combine like terms: 15x + 15x = 30x 30x + 3y + -10y = 0 Combine like terms: 3y + -10y = -7y 30x + -7y = 0 Solving 30x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 30x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 30x + 0 = 0 + 7y 30x = 0 + 7y Remove the zero: 30x = 7y Divide each side by '30'. x = 0.2333333333y Simplifying x = 0.2333333333y
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