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Simplifying 2x + -1(x + 1) = -2x + 21 Reorder the terms: 2x + -1(1 + x) = -2x + 21 2x + (1 * -1 + x * -1) = -2x + 21 2x + (-1 + -1x) = -2x + 21 Reorder the terms: -1 + 2x + -1x = -2x + 21 Combine like terms: 2x + -1x = 1x -1 + 1x = -2x + 21 Reorder the terms: -1 + 1x = 21 + -2x Solving -1 + 1x = 21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + 1x + 2x = 21 + -2x + 2x Combine like terms: 1x + 2x = 3x -1 + 3x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 3x = 21 + 0 -1 + 3x = 21 Add '1' to each side of the equation. -1 + 1 + 3x = 21 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 21 + 1 3x = 21 + 1 Combine like terms: 21 + 1 = 22 3x = 22 Divide each side by '3'. x = 7.333333333 Simplifying x = 7.333333333
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