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Simplifying 3x + 4 + 2x + 1 = 8 + -5x + 2 Reorder the terms: 4 + 1 + 3x + 2x = 8 + -5x + 2 Combine like terms: 4 + 1 = 5 5 + 3x + 2x = 8 + -5x + 2 Combine like terms: 3x + 2x = 5x 5 + 5x = 8 + -5x + 2 Reorder the terms: 5 + 5x = 8 + 2 + -5x Combine like terms: 8 + 2 = 10 5 + 5x = 10 + -5x Solving 5 + 5x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + 5x + 5x = 10 + -5x + 5x Combine like terms: 5x + 5x = 10x 5 + 10x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 10x = 10 + 0 5 + 10x = 10 Add '-5' to each side of the equation. 5 + -5 + 10x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 10 + -5 10x = 10 + -5 Combine like terms: 10 + -5 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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