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Simplifying x + -5 = 2 + -1(x + 1) Reorder the terms: -5 + x = 2 + -1(x + 1) Reorder the terms: -5 + x = 2 + -1(1 + x) -5 + x = 2 + (1 * -1 + x * -1) -5 + x = 2 + (-1 + -1x) Combine like terms: 2 + -1 = 1 -5 + x = 1 + -1x Solving -5 + x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + x + x = 1 + -1x + x Combine like terms: x + x = 2x -5 + 2x = 1 + -1x + x Combine like terms: -1x + x = 0 -5 + 2x = 1 + 0 -5 + 2x = 1 Add '5' to each side of the equation. -5 + 5 + 2x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 1 + 5 2x = 1 + 5 Combine like terms: 1 + 5 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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