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