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Simplifying x + 5(x + -1) = 7 Reorder the terms: x + 5(-1 + x) = 7 x + (-1 * 5 + x * 5) = 7 x + (-5 + 5x) = 7 Reorder the terms: -5 + x + 5x = 7 Combine like terms: x + 5x = 6x -5 + 6x = 7 Solving -5 + 6x = 7 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 = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 7 + 5 6x = 7 + 5 Combine like terms: 7 + 5 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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