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Simplifying 2(5x + -3y) + -3(x + 4y) = 0 (5x * 2 + -3y * 2) + -3(x + 4y) = 0 (10x + -6y) + -3(x + 4y) = 0 10x + -6y + (x * -3 + 4y * -3) = 0 10x + -6y + (-3x + -12y) = 0 Reorder the terms: 10x + -3x + -6y + -12y = 0 Combine like terms: 10x + -3x = 7x 7x + -6y + -12y = 0 Combine like terms: -6y + -12y = -18y 7x + -18y = 0 Solving 7x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18y' to each side of the equation. 7x + -18y + 18y = 0 + 18y Combine like terms: -18y + 18y = 0 7x + 0 = 0 + 18y 7x = 0 + 18y Remove the zero: 7x = 18y Divide each side by '7'. x = 2.571428571y Simplifying x = 2.571428571y
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