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Simplifying 2x + -3 + 5x + -2 = 2x + 5 Reorder the terms: -3 + -2 + 2x + 5x = 2x + 5 Combine like terms: -3 + -2 = -5 -5 + 2x + 5x = 2x + 5 Combine like terms: 2x + 5x = 7x -5 + 7x = 2x + 5 Reorder the terms: -5 + 7x = 5 + 2x Solving -5 + 7x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 7x + -2x = 5 + 2x + -2x Combine like terms: 7x + -2x = 5x -5 + 5x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 5x = 5 + 0 -5 + 5x = 5 Add '5' to each side of the equation. -5 + 5 + 5x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 5 + 5 5x = 5 + 5 Combine like terms: 5 + 5 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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