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Simplifying 7(x + 5) = 5(x + y) Reorder the terms: 7(5 + x) = 5(x + y) (5 * 7 + x * 7) = 5(x + y) (35 + 7x) = 5(x + y) 35 + 7x = (x * 5 + y * 5) 35 + 7x = (5x + 5y) Solving 35 + 7x = 5x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 35 + 7x + -5x = 5x + -5x + 5y Combine like terms: 7x + -5x = 2x 35 + 2x = 5x + -5x + 5y Combine like terms: 5x + -5x = 0 35 + 2x = 0 + 5y 35 + 2x = 5y Add '-35' to each side of the equation. 35 + -35 + 2x = -35 + 5y Combine like terms: 35 + -35 = 0 0 + 2x = -35 + 5y 2x = -35 + 5y Divide each side by '2'. x = -17.5 + 2.5y Simplifying x = -17.5 + 2.5y
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