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Simplifying 11x + -1(5x + -5) = 47 Reorder the terms: 11x + -1(-5 + 5x) = 47 11x + (-5 * -1 + 5x * -1) = 47 11x + (5 + -5x) = 47 Reorder the terms: 5 + 11x + -5x = 47 Combine like terms: 11x + -5x = 6x 5 + 6x = 47 Solving 5 + 6x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 47 + -5 6x = 47 + -5 Combine like terms: 47 + -5 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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