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Simplifying -9(3 + -2x) + -2(x + -1) = 11x (3 * -9 + -2x * -9) + -2(x + -1) = 11x (-27 + 18x) + -2(x + -1) = 11x Reorder the terms: -27 + 18x + -2(-1 + x) = 11x -27 + 18x + (-1 * -2 + x * -2) = 11x -27 + 18x + (2 + -2x) = 11x Reorder the terms: -27 + 2 + 18x + -2x = 11x Combine like terms: -27 + 2 = -25 -25 + 18x + -2x = 11x Combine like terms: 18x + -2x = 16x -25 + 16x = 11x Solving -25 + 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. -25 + 16x + -11x = 11x + -11x Combine like terms: 16x + -11x = 5x -25 + 5x = 11x + -11x Combine like terms: 11x + -11x = 0 -25 + 5x = 0 Add '25' to each side of the equation. -25 + 25 + 5x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 5x = 0 + 25 5x = 0 + 25 Combine like terms: 0 + 25 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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