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Simplifying 7x + -3y = x + 4y Solving 7x + -3y = x + 4y 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. 7x + -1x + -3y = x + -1x + 4y Combine like terms: 7x + -1x = 6x 6x + -3y = x + -1x + 4y Combine like terms: x + -1x = 0 6x + -3y = 0 + 4y 6x + -3y = 4y Add '3y' to each side of the equation. 6x + -3y + 3y = 4y + 3y Combine like terms: -3y + 3y = 0 6x + 0 = 4y + 3y 6x = 4y + 3y Combine like terms: 4y + 3y = 7y 6x = 7y Divide each side by '6'. x = 1.166666667y Simplifying x = 1.166666667y
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