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Simplifying 3x + -4 + -1x + 2 = 3x + -2 + x + 5 Reorder the terms: -4 + 2 + 3x + -1x = 3x + -2 + x + 5 Combine like terms: -4 + 2 = -2 -2 + 3x + -1x = 3x + -2 + x + 5 Combine like terms: 3x + -1x = 2x -2 + 2x = 3x + -2 + x + 5 Reorder the terms: -2 + 2x = -2 + 5 + 3x + x Combine like terms: -2 + 5 = 3 -2 + 2x = 3 + 3x + x Combine like terms: 3x + x = 4x -2 + 2x = 3 + 4x Solving -2 + 2x = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 2x + -4x = 3 + 4x + -4x Combine like terms: 2x + -4x = -2x -2 + -2x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -2x = 3 + 0 -2 + -2x = 3 Add '2' to each side of the equation. -2 + 2 + -2x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 3 + 2 -2x = 3 + 2 Combine like terms: 3 + 2 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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