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Simplifying x + -1 + -1(-1x + 1) = 3 + -1(-1x + 1) Reorder the terms: x + -1 + -1(1 + -1x) = 3 + -1(-1x + 1) x + -1 + (1 * -1 + -1x * -1) = 3 + -1(-1x + 1) x + -1 + (-1 + 1x) = 3 + -1(-1x + 1) Reorder the terms: -1 + -1 + x + 1x = 3 + -1(-1x + 1) Combine like terms: -1 + -1 = -2 -2 + x + 1x = 3 + -1(-1x + 1) Combine like terms: x + 1x = 2x -2 + 2x = 3 + -1(-1x + 1) Reorder the terms: -2 + 2x = 3 + -1(1 + -1x) -2 + 2x = 3 + (1 * -1 + -1x * -1) -2 + 2x = 3 + (-1 + 1x) Combine like terms: 3 + -1 = 2 -2 + 2x = 2 + 1x Solving -2 + 2x = 2 + 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. -2 + 2x + -1x = 2 + 1x + -1x Combine like terms: 2x + -1x = 1x -2 + 1x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 1x = 2 + 0 -2 + 1x = 2 Add '2' to each side of the equation. -2 + 2 + 1x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 2 + 2 1x = 2 + 2 Combine like terms: 2 + 2 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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