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Simplifying 2x + 1(1 + -1x) = 11 + -1x 2x + (1 * 1 + -1x * 1) = 11 + -1x 2x + (1 + -1x) = 11 + -1x Reorder the terms: 1 + 2x + -1x = 11 + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = 11 + -1x Solving 1 + 1x = 11 + -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. 1 + 1x + x = 11 + -1x + x Combine like terms: 1x + x = 2x 1 + 2x = 11 + -1x + x Combine like terms: -1x + x = 0 1 + 2x = 11 + 0 1 + 2x = 11 Add '-1' to each side of the equation. 1 + -1 + 2x = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 11 + -1 2x = 11 + -1 Combine like terms: 11 + -1 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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