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Simplifying 3x + -2x + -1 = 2x + -2 Reorder the terms: -1 + 3x + -2x = 2x + -2 Combine like terms: 3x + -2x = 1x -1 + 1x = 2x + -2 Reorder the terms: -1 + 1x = -2 + 2x Solving -1 + 1x = -2 + 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 = -2 + 2x + -2x Combine like terms: 1x + -2x = -1x -1 + -1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 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 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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