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Simplifying 2x + -2 + 3x = 10x + 2 + -7x + 2 Reorder the terms: -2 + 2x + 3x = 10x + 2 + -7x + 2 Combine like terms: 2x + 3x = 5x -2 + 5x = 10x + 2 + -7x + 2 Reorder the terms: -2 + 5x = 2 + 2 + 10x + -7x Combine like terms: 2 + 2 = 4 -2 + 5x = 4 + 10x + -7x Combine like terms: 10x + -7x = 3x -2 + 5x = 4 + 3x Solving -2 + 5x = 4 + 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 + 5x + -3x = 4 + 3x + -3x Combine like terms: 5x + -3x = 2x -2 + 2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 2x = 4 + 0 -2 + 2x = 4 Add '2' to each side of the equation. -2 + 2 + 2x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 4 + 2 2x = 4 + 2 Combine like terms: 4 + 2 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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