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Simplifying 9x + -41 = 2(1 + -11x) + -12x Reorder the terms: -41 + 9x = 2(1 + -11x) + -12x -41 + 9x = (1 * 2 + -11x * 2) + -12x -41 + 9x = (2 + -22x) + -12x Combine like terms: -22x + -12x = -34x -41 + 9x = 2 + -34x Solving -41 + 9x = 2 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. -41 + 9x + 34x = 2 + -34x + 34x Combine like terms: 9x + 34x = 43x -41 + 43x = 2 + -34x + 34x Combine like terms: -34x + 34x = 0 -41 + 43x = 2 + 0 -41 + 43x = 2 Add '41' to each side of the equation. -41 + 41 + 43x = 2 + 41 Combine like terms: -41 + 41 = 0 0 + 43x = 2 + 41 43x = 2 + 41 Combine like terms: 2 + 41 = 43 43x = 43 Divide each side by '43'. x = 1 Simplifying x = 1
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