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Simplifying 7y + 2((x + 5) + -1y) + -12 = 7y Reorder the terms: 7y + 2((5 + x) + -1y) + -12 = 7y Remove parenthesis around (5 + x) 7y + 2(5 + x + -1y) + -12 = 7y 7y + (5 * 2 + x * 2 + -1y * 2) + -12 = 7y 7y + (10 + 2x + -2y) + -12 = 7y Reorder the terms: 10 + -12 + 2x + 7y + -2y = 7y Combine like terms: 10 + -12 = -2 -2 + 2x + 7y + -2y = 7y Combine like terms: 7y + -2y = 5y -2 + 2x + 5y = 7y Solving -2 + 2x + 5y = 7y 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 + 5y = 2 + 7y Reorder the terms: -2 + 2 + 2x + 5y = 2 + 7y Combine like terms: -2 + 2 = 0 0 + 2x + 5y = 2 + 7y 2x + 5y = 2 + 7y Add '-5y' to each side of the equation. 2x + 5y + -5y = 2 + 7y + -5y Combine like terms: 5y + -5y = 0 2x + 0 = 2 + 7y + -5y 2x = 2 + 7y + -5y Combine like terms: 7y + -5y = 2y 2x = 2 + 2y Divide each side by '2'. x = 1 + y Simplifying x = 1 + y
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