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Simplifying 3x + -5 + 2x + 2 = 5x + -3 + 2x Reorder the terms: -5 + 2 + 3x + 2x = 5x + -3 + 2x Combine like terms: -5 + 2 = -3 -3 + 3x + 2x = 5x + -3 + 2x Combine like terms: 3x + 2x = 5x -3 + 5x = 5x + -3 + 2x Reorder the terms: -3 + 5x = -3 + 5x + 2x Combine like terms: 5x + 2x = 7x -3 + 5x = -3 + 7x Add '3' to each side of the equation. -3 + 3 + 5x = -3 + 3 + 7x Combine like terms: -3 + 3 = 0 0 + 5x = -3 + 3 + 7x 5x = -3 + 3 + 7x Combine like terms: -3 + 3 = 0 5x = 0 + 7x 5x = 7x Solving 5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x -2x = 7x + -7x Combine like terms: 7x + -7x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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