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Simplifying 5x + -1(2x + 1) = 1 Reorder the terms: 5x + -1(1 + 2x) = 1 5x + (1 * -1 + 2x * -1) = 1 5x + (-1 + -2x) = 1 Reorder the terms: -1 + 5x + -2x = 1 Combine like terms: 5x + -2x = 3x -1 + 3x = 1 Solving -1 + 3x = 1 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 + 3x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 1 + 1 3x = 1 + 1 Combine like terms: 1 + 1 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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