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Simplifying 3(x + y) = 7(y + -1x) (x * 3 + y * 3) = 7(y + -1x) (3x + 3y) = 7(y + -1x) Reorder the terms: 3x + 3y = 7(-1x + y) 3x + 3y = (-1x * 7 + y * 7) 3x + 3y = (-7x + 7y) Solving 3x + 3y = -7x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3x + 7x + 3y = -7x + 7x + 7y Combine like terms: 3x + 7x = 10x 10x + 3y = -7x + 7x + 7y Combine like terms: -7x + 7x = 0 10x + 3y = 0 + 7y 10x + 3y = 7y Add '-3y' to each side of the equation. 10x + 3y + -3y = 7y + -3y Combine like terms: 3y + -3y = 0 10x + 0 = 7y + -3y 10x = 7y + -3y Combine like terms: 7y + -3y = 4y 10x = 4y Divide each side by '10'. x = 0.4y Simplifying x = 0.4y
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