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Simplifying 11x + -1(x + 1) = x + -1 Reorder the terms: 11x + -1(1 + x) = x + -1 11x + (1 * -1 + x * -1) = x + -1 11x + (-1 + -1x) = x + -1 Reorder the terms: -1 + 11x + -1x = x + -1 Combine like terms: 11x + -1x = 10x -1 + 10x = x + -1 Reorder the terms: -1 + 10x = -1 + x Add '1' to each side of the equation. -1 + 1 + 10x = -1 + 1 + x Combine like terms: -1 + 1 = 0 0 + 10x = -1 + 1 + x 10x = -1 + 1 + x Combine like terms: -1 + 1 = 0 10x = 0 + x 10x = x Solving 10x = 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. 10x + -1x = x + -1x Combine like terms: 10x + -1x = 9x 9x = x + -1x Combine like terms: x + -1x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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