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Simplifying 2x + 3(2.25 + 0.5x) = 12 2x + (2.25 * 3 + 0.5x * 3) = 12 2x + (6.75 + 1.5x) = 12 Reorder the terms: 6.75 + 2x + 1.5x = 12 Combine like terms: 2x + 1.5x = 3.5x 6.75 + 3.5x = 12 Solving 6.75 + 3.5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.75' to each side of the equation. 6.75 + -6.75 + 3.5x = 12 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + 3.5x = 12 + -6.75 3.5x = 12 + -6.75 Combine like terms: 12 + -6.75 = 5.25 3.5x = 5.25 Divide each side by '3.5'. x = 1.5 Simplifying x = 1.5
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