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Simplifying 11(x + -1) = 5x + 19 Reorder the terms: 11(-1 + x) = 5x + 19 (-1 * 11 + x * 11) = 5x + 19 (-11 + 11x) = 5x + 19 Reorder the terms: -11 + 11x = 19 + 5x Solving -11 + 11x = 19 + 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. -11 + 11x + -5x = 19 + 5x + -5x Combine like terms: 11x + -5x = 6x -11 + 6x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 6x = 19 + 0 -11 + 6x = 19 Add '11' to each side of the equation. -11 + 11 + 6x = 19 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 19 + 11 6x = 19 + 11 Combine like terms: 19 + 11 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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