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Simplifying 10(x + 1) + (x + 1) = 0 Reorder the terms: 10(1 + x) + (x + 1) = 0 (1 * 10 + x * 10) + (x + 1) = 0 (10 + 10x) + (x + 1) = 0 Reorder the terms: 10 + 10x + (1 + x) = 0 Remove parenthesis around (1 + x) 10 + 10x + 1 + x = 0 Reorder the terms: 10 + 1 + 10x + x = 0 Combine like terms: 10 + 1 = 11 11 + 10x + x = 0 Combine like terms: 10x + x = 11x 11 + 11x = 0 Solving 11 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 11x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 11x = 0 + -11 11x = 0 + -11 Combine like terms: 0 + -11 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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