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Simplifying 3x + 1y = 1x + 3y Solving 3x + 1y = 1x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3x + -1x + 1y = 1x + -1x + 3y Combine like terms: 3x + -1x = 2x 2x + 1y = 1x + -1x + 3y Combine like terms: 1x + -1x = 0 2x + 1y = 0 + 3y 2x + 1y = 3y Add '-1y' to each side of the equation. 2x + 1y + -1y = 3y + -1y Combine like terms: 1y + -1y = 0 2x + 0 = 3y + -1y 2x = 3y + -1y Combine like terms: 3y + -1y = 2y 2x = 2y Divide each side by '2'. x = y Simplifying x = y
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