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Simplifying 5x + -1(-2x + -1) = 8 Reorder the terms: 5x + -1(-1 + -2x) = 8 5x + (-1 * -1 + -2x * -1) = 8 5x + (1 + 2x) = 8 Reorder the terms: 1 + 5x + 2x = 8 Combine like terms: 5x + 2x = 7x 1 + 7x = 8 Solving 1 + 7x = 8 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 + 7x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 8 + -1 7x = 8 + -1 Combine like terms: 8 + -1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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