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Simplifying 10x + y = 7(x + y) 10x + y = (x * 7 + y * 7) 10x + y = (7x + 7y) Solving 10x + y = 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. 10x + -7x + y = 7x + -7x + 7y Combine like terms: 10x + -7x = 3x 3x + y = 7x + -7x + 7y Combine like terms: 7x + -7x = 0 3x + y = 0 + 7y 3x + y = 7y Add '-1y' to each side of the equation. 3x + y + -1y = 7y + -1y Combine like terms: y + -1y = 0 3x + 0 = 7y + -1y 3x = 7y + -1y Combine like terms: 7y + -1y = 6y 3x = 6y Divide each side by '3'. x = 2y Simplifying x = 2y
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