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Simplifying 2x + 0.5(x + -3) = 36 Reorder the terms: 2x + 0.5(-3 + x) = 36 2x + (-3 * 0.5 + x * 0.5) = 36 2x + (-1.5 + 0.5x) = 36 Reorder the terms: -1.5 + 2x + 0.5x = 36 Combine like terms: 2x + 0.5x = 2.5x -1.5 + 2.5x = 36 Solving -1.5 + 2.5x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + 2.5x = 36 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 2.5x = 36 + 1.5 2.5x = 36 + 1.5 Combine like terms: 36 + 1.5 = 37.5 2.5x = 37.5 Divide each side by '2.5'. x = 15 Simplifying x = 15
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