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Simplifying 11(x + -1) + 6(x + -1) = 0 Reorder the terms: 11(-1 + x) + 6(x + -1) = 0 (-1 * 11 + x * 11) + 6(x + -1) = 0 (-11 + 11x) + 6(x + -1) = 0 Reorder the terms: -11 + 11x + 6(-1 + x) = 0 -11 + 11x + (-1 * 6 + x * 6) = 0 -11 + 11x + (-6 + 6x) = 0 Reorder the terms: -11 + -6 + 11x + 6x = 0 Combine like terms: -11 + -6 = -17 -17 + 11x + 6x = 0 Combine like terms: 11x + 6x = 17x -17 + 17x = 0 Solving -17 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 17x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 17x = 0 + 17 17x = 0 + 17 Combine like terms: 0 + 17 = 17 17x = 17 Divide each side by '17'. x = 1 Simplifying x = 1
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