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Simplifying -4 + 2x + -1(x + 1) = x + 1 + x Reorder the terms: -4 + 2x + -1(1 + x) = x + 1 + x -4 + 2x + (1 * -1 + x * -1) = x + 1 + x -4 + 2x + (-1 + -1x) = x + 1 + x Reorder the terms: -4 + -1 + 2x + -1x = x + 1 + x Combine like terms: -4 + -1 = -5 -5 + 2x + -1x = x + 1 + x Combine like terms: 2x + -1x = 1x -5 + 1x = x + 1 + x Reorder the terms: -5 + 1x = 1 + x + x Combine like terms: x + x = 2x -5 + 1x = 1 + 2x Solving -5 + 1x = 1 + 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. -5 + 1x + -2x = 1 + 2x + -2x Combine like terms: 1x + -2x = -1x -5 + -1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -1x = 1 + 0 -5 + -1x = 1 Add '5' to each side of the equation. -5 + 5 + -1x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 1 + 5 -1x = 1 + 5 Combine like terms: 1 + 5 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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