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Simplifying 4x + -1(2x + 1) = x + 2 Reorder the terms: 4x + -1(1 + 2x) = x + 2 4x + (1 * -1 + 2x * -1) = x + 2 4x + (-1 + -2x) = x + 2 Reorder the terms: -1 + 4x + -2x = x + 2 Combine like terms: 4x + -2x = 2x -1 + 2x = x + 2 Reorder the terms: -1 + 2x = 2 + x Solving -1 + 2x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 2x + -1x = 2 + x + -1x Combine like terms: 2x + -1x = 1x -1 + 1x = 2 + x + -1x Combine like terms: x + -1x = 0 -1 + 1x = 2 + 0 -1 + 1x = 2 Add '1' to each side of the equation. -1 + 1 + 1x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 2 + 1 1x = 2 + 1 Combine like terms: 2 + 1 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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