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Simplifying 5x + -1y = 2x + -3y Solving 5x + -1y = 2x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5x + -2x + -1y = 2x + -2x + -3y Combine like terms: 5x + -2x = 3x 3x + -1y = 2x + -2x + -3y Combine like terms: 2x + -2x = 0 3x + -1y = 0 + -3y 3x + -1y = -3y Add 'y' to each side of the equation. 3x + -1y + y = -3y + y Combine like terms: -1y + y = 0 3x + 0 = -3y + y 3x = -3y + y Combine like terms: -3y + y = -2y 3x = -2y Divide each side by '3'. x = -0.6666666667y Simplifying x = -0.6666666667y
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