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Simplifying 6x + 0.5 = 3x + 2 Reorder the terms: 0.5 + 6x = 3x + 2 Reorder the terms: 0.5 + 6x = 2 + 3x Solving 0.5 + 6x = 2 + 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. 0.5 + 6x + -3x = 2 + 3x + -3x Combine like terms: 6x + -3x = 3x 0.5 + 3x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 0.5 + 3x = 2 + 0 0.5 + 3x = 2 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 3x = 2 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 3x = 2 + -0.5 3x = 2 + -0.5 Combine like terms: 2 + -0.5 = 1.5 3x = 1.5 Divide each side by '3'. x = 0.5 Simplifying x = 0.5
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