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Simplifying 11(x + -3) + -1 = 9x + 2 Reorder the terms: 11(-3 + x) + -1 = 9x + 2 (-3 * 11 + x * 11) + -1 = 9x + 2 (-33 + 11x) + -1 = 9x + 2 Reorder the terms: -33 + -1 + 11x = 9x + 2 Combine like terms: -33 + -1 = -34 -34 + 11x = 9x + 2 Reorder the terms: -34 + 11x = 2 + 9x Solving -34 + 11x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -34 + 11x + -9x = 2 + 9x + -9x Combine like terms: 11x + -9x = 2x -34 + 2x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -34 + 2x = 2 + 0 -34 + 2x = 2 Add '34' to each side of the equation. -34 + 34 + 2x = 2 + 34 Combine like terms: -34 + 34 = 0 0 + 2x = 2 + 34 2x = 2 + 34 Combine like terms: 2 + 34 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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