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Simplifying 2((x + y) + (2y + -1)) = 28 Remove parenthesis around (x + y) 2(x + y + (2y + -1)) = 28 Reorder the terms: 2(x + y + (-1 + 2y)) = 28 Remove parenthesis around (-1 + 2y) 2(x + y + -1 + 2y) = 28 Reorder the terms: 2(-1 + x + y + 2y) = 28 Combine like terms: y + 2y = 3y 2(-1 + x + 3y) = 28 (-1 * 2 + x * 2 + 3y * 2) = 28 (-2 + 2x + 6y) = 28 Solving -2 + 2x + 6y = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2x + 2 + 6y = 28 + 2 Reorder the terms: -2 + 2 + 2x + 6y = 28 + 2 Combine like terms: -2 + 2 = 0 0 + 2x + 6y = 28 + 2 2x + 6y = 28 + 2 Combine like terms: 28 + 2 = 30 2x + 6y = 30 Add '-6y' to each side of the equation. 2x + 6y + -6y = 30 + -6y Combine like terms: 6y + -6y = 0 2x + 0 = 30 + -6y 2x = 30 + -6y Divide each side by '2'. x = 15 + -3y Simplifying x = 15 + -3y
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