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