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Simplifying 4x + (-5) + -2x + 2 = 3x + -3x + 3 4x + -5 + -2x + 2 = 3x + -3x + 3 Reorder the terms: -5 + 2 + 4x + -2x = 3x + -3x + 3 Combine like terms: -5 + 2 = -3 -3 + 4x + -2x = 3x + -3x + 3 Combine like terms: 4x + -2x = 2x -3 + 2x = 3x + -3x + 3 Reorder the terms: -3 + 2x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 2x = 3 + 0 -3 + 2x = 3 Solving -3 + 2x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 3 + 3 2x = 3 + 3 Combine like terms: 3 + 3 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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