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Simplifying 11(x + -1) = 6x + 14 Reorder the terms: 11(-1 + x) = 6x + 14 (-1 * 11 + x * 11) = 6x + 14 (-11 + 11x) = 6x + 14 Reorder the terms: -11 + 11x = 14 + 6x Solving -11 + 11x = 14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -11 + 11x + -6x = 14 + 6x + -6x Combine like terms: 11x + -6x = 5x -11 + 5x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + 5x = 14 + 0 -11 + 5x = 14 Add '11' to each side of the equation. -11 + 11 + 5x = 14 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 14 + 11 5x = 14 + 11 Combine like terms: 14 + 11 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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