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Simplifying 5(3x + -2y) + -5(4x + y) = 0 (3x * 5 + -2y * 5) + -5(4x + y) = 0 (15x + -10y) + -5(4x + y) = 0 15x + -10y + (4x * -5 + y * -5) = 0 15x + -10y + (-20x + -5y) = 0 Reorder the terms: 15x + -20x + -10y + -5y = 0 Combine like terms: 15x + -20x = -5x -5x + -10y + -5y = 0 Combine like terms: -10y + -5y = -15y -5x + -15y = 0 Solving -5x + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. -5x + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 -5x + 0 = 0 + 15y -5x = 0 + 15y Remove the zero: -5x = 15y Divide each side by '-5'. x = -3y Simplifying x = -3y
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