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Simplifying 3(-9 + 2x) + -7x = 11x + -5 (-9 * 3 + 2x * 3) + -7x = 11x + -5 (-27 + 6x) + -7x = 11x + -5 Combine like terms: 6x + -7x = -1x -27 + -1x = 11x + -5 Reorder the terms: -27 + -1x = -5 + 11x Solving -27 + -1x = -5 + 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. -27 + -1x + -11x = -5 + 11x + -11x Combine like terms: -1x + -11x = -12x -27 + -12x = -5 + 11x + -11x Combine like terms: 11x + -11x = 0 -27 + -12x = -5 + 0 -27 + -12x = -5 Add '27' to each side of the equation. -27 + 27 + -12x = -5 + 27 Combine like terms: -27 + 27 = 0 0 + -12x = -5 + 27 -12x = -5 + 27 Combine like terms: -5 + 27 = 22 -12x = 22 Divide each side by '-12'. x = -1.833333333 Simplifying x = -1.833333333
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