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Simplifying 6x + -3(y + -7x) + 2(5x + -1y) = 0 Reorder the terms: 6x + -3(-7x + y) + 2(5x + -1y) = 0 6x + (-7x * -3 + y * -3) + 2(5x + -1y) = 0 6x + (21x + -3y) + 2(5x + -1y) = 0 6x + 21x + -3y + (5x * 2 + -1y * 2) = 0 6x + 21x + -3y + (10x + -2y) = 0 Reorder the terms: 6x + 21x + 10x + -3y + -2y = 0 Combine like terms: 6x + 21x = 27x 27x + 10x + -3y + -2y = 0 Combine like terms: 27x + 10x = 37x 37x + -3y + -2y = 0 Combine like terms: -3y + -2y = -5y 37x + -5y = 0 Solving 37x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 37x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 37x + 0 = 0 + 5y 37x = 0 + 5y Remove the zero: 37x = 5y Divide each side by '37'. x = 0.1351351351y Simplifying x = 0.1351351351y
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