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Simplifying (7x + -3y) + -1(4x + -2y) = 0 Remove parenthesis around (7x + -3y) 7x + -3y + -1(4x + -2y) = 0 7x + -3y + (4x * -1 + -2y * -1) = 0 7x + -3y + (-4x + 2y) = 0 Reorder the terms: 7x + -4x + -3y + 2y = 0 Combine like terms: 7x + -4x = 3x 3x + -3y + 2y = 0 Combine like terms: -3y + 2y = -1y 3x + -1y = 0 Solving 3x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 3x + -1y + y = 0 + y Combine like terms: -1y + y = 0 3x + 0 = 0 + y 3x = 0 + y Remove the zero: 3x = y Divide each side by '3'. x = 0.3333333333y Simplifying x = 0.3333333333y
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