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