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Simplifying -11(1 + -1x) = -9x + -1(2x + -11) (1 * -11 + -1x * -11) = -9x + -1(2x + -11) (-11 + 11x) = -9x + -1(2x + -11) Reorder the terms: -11 + 11x = -9x + -1(-11 + 2x) -11 + 11x = -9x + (-11 * -1 + 2x * -1) -11 + 11x = -9x + (11 + -2x) Reorder the terms: -11 + 11x = 11 + -9x + -2x Combine like terms: -9x + -2x = -11x -11 + 11x = 11 + -11x Solving -11 + 11x = 11 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -11 + 11x + 11x = 11 + -11x + 11x Combine like terms: 11x + 11x = 22x -11 + 22x = 11 + -11x + 11x Combine like terms: -11x + 11x = 0 -11 + 22x = 11 + 0 -11 + 22x = 11 Add '11' to each side of the equation. -11 + 11 + 22x = 11 + 11 Combine like terms: -11 + 11 = 0 0 + 22x = 11 + 11 22x = 11 + 11 Combine like terms: 11 + 11 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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