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Simplifying 3(1 + 2x) = 11(x + -2) (1 * 3 + 2x * 3) = 11(x + -2) (3 + 6x) = 11(x + -2) Reorder the terms: 3 + 6x = 11(-2 + x) 3 + 6x = (-2 * 11 + x * 11) 3 + 6x = (-22 + 11x) Solving 3 + 6x = -22 + 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. 3 + 6x + -11x = -22 + 11x + -11x Combine like terms: 6x + -11x = -5x 3 + -5x = -22 + 11x + -11x Combine like terms: 11x + -11x = 0 3 + -5x = -22 + 0 3 + -5x = -22 Add '-3' to each side of the equation. 3 + -3 + -5x = -22 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -22 + -3 -5x = -22 + -3 Combine like terms: -22 + -3 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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