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Simplifying 7x + 2(5x + -2y) + -1(7x + -1y) = 0 7x + (5x * 2 + -2y * 2) + -1(7x + -1y) = 0 7x + (10x + -4y) + -1(7x + -1y) = 0 7x + 10x + -4y + (7x * -1 + -1y * -1) = 0 7x + 10x + -4y + (-7x + 1y) = 0 Reorder the terms: 7x + 10x + -7x + -4y + 1y = 0 Combine like terms: 7x + 10x = 17x 17x + -7x + -4y + 1y = 0 Combine like terms: 17x + -7x = 10x 10x + -4y + 1y = 0 Combine like terms: -4y + 1y = -3y 10x + -3y = 0 Solving 10x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 10x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 10x + 0 = 0 + 3y 10x = 0 + 3y Remove the zero: 10x = 3y Divide each side by '10'. x = 0.3y Simplifying x = 0.3y
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