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Simplifying 5(2x + -3y) + -3(5x + -2y) = 0 (2x * 5 + -3y * 5) + -3(5x + -2y) = 0 (10x + -15y) + -3(5x + -2y) = 0 10x + -15y + (5x * -3 + -2y * -3) = 0 10x + -15y + (-15x + 6y) = 0 Reorder the terms: 10x + -15x + -15y + 6y = 0 Combine like terms: 10x + -15x = -5x -5x + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y -5x + -9y = 0 Solving -5x + -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. -5x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 -5x + 0 = 0 + 9y -5x = 0 + 9y Remove the zero: -5x = 9y Divide each side by '-5'. x = -1.8y Simplifying x = -1.8y
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