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Simplifying 3x + -1(x + 1) = -1x + 1 Reorder the terms: 3x + -1(1 + x) = -1x + 1 3x + (1 * -1 + x * -1) = -1x + 1 3x + (-1 + -1x) = -1x + 1 Reorder the terms: -1 + 3x + -1x = -1x + 1 Combine like terms: 3x + -1x = 2x -1 + 2x = -1x + 1 Reorder the terms: -1 + 2x = 1 + -1x Solving -1 + 2x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 2x + x = 1 + -1x + x Combine like terms: 2x + x = 3x -1 + 3x = 1 + -1x + x Combine like terms: -1x + x = 0 -1 + 3x = 1 + 0 -1 + 3x = 1 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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