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Simplifying (x + y) + 1 = 1 + -1(1 + -1x) Remove parenthesis around (x + y) x + y + 1 = 1 + -1(1 + -1x) Reorder the terms: 1 + x + y = 1 + -1(1 + -1x) 1 + x + y = 1 + (1 * -1 + -1x * -1) 1 + x + y = 1 + (-1 + 1x) Combine like terms: 1 + -1 = 0 1 + x + y = 0 + 1x 1 + x + y = 1x Solving 1 + x + y = 1x 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 + x + -1x + y = 1x + -1x Combine like terms: x + -1x = 0 1 + 0 + y = 1x + -1x 1 + y = 1x + -1x Combine like terms: 1x + -1x = 0 1 + y = 0 Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Add '-1y' to each side of the equation. y + -1y = -1 + -1y Combine like terms: y + -1y = 0 0 = -1 + -1y Simplifying 0 = -1 + -1y Combine like terms: 0 + 1 = 1 1 + y = -1 + -1y + 1 + y Reorder the terms: 1 + y = -1 + 1 + -1y + y Combine like terms: -1 + 1 = 0 1 + y = 0 + -1y + y 1 + y = -1y + y Combine like terms: -1y + y = 0 1 + y = 0 The solution to this equation could not be determined.
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