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Simplifying (5x + y) + -1(3x + -2y) = 0 Remove parenthesis around (5x + y) 5x + y + -1(3x + -2y) = 0 5x + y + (3x * -1 + -2y * -1) = 0 5x + y + (-3x + 2y) = 0 Reorder the terms: 5x + -3x + y + 2y = 0 Combine like terms: 5x + -3x = 2x 2x + y + 2y = 0 Combine like terms: y + 2y = 3y 2x + 3y = 0 Solving 2x + 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. 2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 0 + -3y 2x = 0 + -3y Remove the zero: 2x = -3y Divide each side by '2'. x = -1.5y Simplifying x = -1.5y
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