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Simplifying (2x + 6) + (3x + 2) = 0.5 Reorder the terms: (6 + 2x) + (3x + 2) = 0.5 Remove parenthesis around (6 + 2x) 6 + 2x + (3x + 2) = 0.5 Reorder the terms: 6 + 2x + (2 + 3x) = 0.5 Remove parenthesis around (2 + 3x) 6 + 2x + 2 + 3x = 0.5 Reorder the terms: 6 + 2 + 2x + 3x = 0.5 Combine like terms: 6 + 2 = 8 8 + 2x + 3x = 0.5 Combine like terms: 2x + 3x = 5x 8 + 5x = 0.5 Solving 8 + 5x = 0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0.5 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0.5 + -8 5x = 0.5 + -8 Combine like terms: 0.5 + -8 = -7.5 5x = -7.5 Divide each side by '5'. x = -1.5 Simplifying x = -1.5
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