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Simplifying -11(1 + x) = 11(-3 + -3x) (1 * -11 + x * -11) = 11(-3 + -3x) (-11 + -11x) = 11(-3 + -3x) -11 + -11x = (-3 * 11 + -3x * 11) -11 + -11x = (-33 + -33x) Solving -11 + -11x = -33 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -11 + -11x + 33x = -33 + -33x + 33x Combine like terms: -11x + 33x = 22x -11 + 22x = -33 + -33x + 33x Combine like terms: -33x + 33x = 0 -11 + 22x = -33 + 0 -11 + 22x = -33 Add '11' to each side of the equation. -11 + 11 + 22x = -33 + 11 Combine like terms: -11 + 11 = 0 0 + 22x = -33 + 11 22x = -33 + 11 Combine like terms: -33 + 11 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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