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Simplifying 11(x + -2) = 5(x + 4) Reorder the terms: 11(-2 + x) = 5(x + 4) (-2 * 11 + x * 11) = 5(x + 4) (-22 + 11x) = 5(x + 4) Reorder the terms: -22 + 11x = 5(4 + x) -22 + 11x = (4 * 5 + x * 5) -22 + 11x = (20 + 5x) Solving -22 + 11x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -22 + 11x + -5x = 20 + 5x + -5x Combine like terms: 11x + -5x = 6x -22 + 6x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 -22 + 6x = 20 + 0 -22 + 6x = 20 Add '22' to each side of the equation. -22 + 22 + 6x = 20 + 22 Combine like terms: -22 + 22 = 0 0 + 6x = 20 + 22 6x = 20 + 22 Combine like terms: 20 + 22 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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