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Simplifying -2(11 + -9x) + -2(x + -1) = 11x (11 * -2 + -9x * -2) + -2(x + -1) = 11x (-22 + 18x) + -2(x + -1) = 11x Reorder the terms: -22 + 18x + -2(-1 + x) = 11x -22 + 18x + (-1 * -2 + x * -2) = 11x -22 + 18x + (2 + -2x) = 11x Reorder the terms: -22 + 2 + 18x + -2x = 11x Combine like terms: -22 + 2 = -20 -20 + 18x + -2x = 11x Combine like terms: 18x + -2x = 16x -20 + 16x = 11x Solving -20 + 16x = 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. -20 + 16x + -11x = 11x + -11x Combine like terms: 16x + -11x = 5x -20 + 5x = 11x + -11x Combine like terms: 11x + -11x = 0 -20 + 5x = 0 Add '20' to each side of the equation. -20 + 20 + 5x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 0 + 20 5x = 0 + 20 Combine like terms: 0 + 20 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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