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