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Simplifying 3x + -6 = -1(22 + -11x) Reorder the terms: -6 + 3x = -1(22 + -11x) -6 + 3x = (22 * -1 + -11x * -1) -6 + 3x = (-22 + 11x) Solving -6 + 3x = -22 + 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. -6 + 3x + -11x = -22 + 11x + -11x Combine like terms: 3x + -11x = -8x -6 + -8x = -22 + 11x + -11x Combine like terms: 11x + -11x = 0 -6 + -8x = -22 + 0 -6 + -8x = -22 Add '6' to each side of the equation. -6 + 6 + -8x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -22 + 6 -8x = -22 + 6 Combine like terms: -22 + 6 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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