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Simplifying 7x + -1(x + -1) = 31 Reorder the terms: 7x + -1(-1 + x) = 31 7x + (-1 * -1 + x * -1) = 31 7x + (1 + -1x) = 31 Reorder the terms: 1 + 7x + -1x = 31 Combine like terms: 7x + -1x = 6x 1 + 6x = 31 Solving 1 + 6x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 31 + -1 6x = 31 + -1 Combine like terms: 31 + -1 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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