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Simplifying 4x + -1(x + 1) = 2(x + 2) Reorder the terms: 4x + -1(1 + x) = 2(x + 2) 4x + (1 * -1 + x * -1) = 2(x + 2) 4x + (-1 + -1x) = 2(x + 2) Reorder the terms: -1 + 4x + -1x = 2(x + 2) Combine like terms: 4x + -1x = 3x -1 + 3x = 2(x + 2) Reorder the terms: -1 + 3x = 2(2 + x) -1 + 3x = (2 * 2 + x * 2) -1 + 3x = (4 + 2x) Solving -1 + 3x = 4 + 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 + 3x + -2x = 4 + 2x + -2x Combine like terms: 3x + -2x = 1x -1 + 1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 1x = 4 + 0 -1 + 1x = 4 Add '1' to each side of the equation. -1 + 1 + 1x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 4 + 1 1x = 4 + 1 Combine like terms: 4 + 1 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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