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