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Simplifying 3x + 2 = 5x + 1 Reorder the terms: 2 + 3x = 5x + 1 Reorder the terms: 2 + 3x = 1 + 5x Solving 2 + 3x = 1 + 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. 2 + 3x + -5x = 1 + 5x + -5x Combine like terms: 3x + -5x = -2x 2 + -2x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -2x = 1 + 0 2 + -2x = 1 Add '-2' to each side of the equation. 2 + -2 + -2x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 1 + -2 -2x = 1 + -2 Combine like terms: 1 + -2 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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