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Simplifying x + -1(5 + -2x) = 1 + (2 + x) x + (5 * -1 + -2x * -1) = 1 + (2 + x) x + (-5 + 2x) = 1 + (2 + x) Reorder the terms: -5 + x + 2x = 1 + (2 + x) Combine like terms: x + 2x = 3x -5 + 3x = 1 + (2 + x) Remove parenthesis around (2 + x) -5 + 3x = 1 + 2 + x Combine like terms: 1 + 2 = 3 -5 + 3x = 3 + x Solving -5 + 3x = 3 + 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. -5 + 3x + -1x = 3 + x + -1x Combine like terms: 3x + -1x = 2x -5 + 2x = 3 + x + -1x Combine like terms: x + -1x = 0 -5 + 2x = 3 + 0 -5 + 2x = 3 Add '5' to each side of the equation. -5 + 5 + 2x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 3 + 5 2x = 3 + 5 Combine like terms: 3 + 5 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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