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