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Simplifying 5x + (x + -1) + (x + -1) = 47 Reorder the terms: 5x + (-1 + x) + (x + -1) = 47 Remove parenthesis around (-1 + x) 5x + -1 + x + (x + -1) = 47 Reorder the terms: 5x + -1 + x + (-1 + x) = 47 Remove parenthesis around (-1 + x) 5x + -1 + x + -1 + x = 47 Reorder the terms: -1 + -1 + 5x + x + x = 47 Combine like terms: -1 + -1 = -2 -2 + 5x + x + x = 47 Combine like terms: 5x + x = 6x -2 + 6x + x = 47 Combine like terms: 6x + x = 7x -2 + 7x = 47 Solving -2 + 7x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7x = 47 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 47 + 2 7x = 47 + 2 Combine like terms: 47 + 2 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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