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