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Simplifying 2x + 3x + -8 = x + 2x + 12 Reorder the terms: -8 + 2x + 3x = x + 2x + 12 Combine like terms: 2x + 3x = 5x -8 + 5x = x + 2x + 12 Reorder the terms: -8 + 5x = 12 + x + 2x Combine like terms: x + 2x = 3x -8 + 5x = 12 + 3x Solving -8 + 5x = 12 + 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. -8 + 5x + -3x = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x -8 + 2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 2x = 12 + 0 -8 + 2x = 12 Add '8' to each side of the equation. -8 + 8 + 2x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 12 + 8 2x = 12 + 8 Combine like terms: 12 + 8 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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