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Simplifying 3(x + y) = 7(y + 1) + 3 (x * 3 + y * 3) = 7(y + 1) + 3 (3x + 3y) = 7(y + 1) + 3 Reorder the terms: 3x + 3y = 7(1 + y) + 3 3x + 3y = (1 * 7 + y * 7) + 3 3x + 3y = (7 + 7y) + 3 Reorder the terms: 3x + 3y = 7 + 3 + 7y Combine like terms: 7 + 3 = 10 3x + 3y = 10 + 7y Solving 3x + 3y = 10 + 7y 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. 3x + 3y + -3y = 10 + 7y + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 10 + 7y + -3y 3x = 10 + 7y + -3y Combine like terms: 7y + -3y = 4y 3x = 10 + 4y Divide each side by '3'. x = 3.333333333 + 1.333333333y Simplifying x = 3.333333333 + 1.333333333y
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