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Simplifying 0.5x + 2(x + -3) = 11.5 Reorder the terms: 0.5x + 2(-3 + x) = 11.5 0.5x + (-3 * 2 + x * 2) = 11.5 0.5x + (-6 + 2x) = 11.5 Reorder the terms: -6 + 0.5x + 2x = 11.5 Combine like terms: 0.5x + 2x = 2.5x -6 + 2.5x = 11.5 Solving -6 + 2.5x = 11.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 2.5x = 11.5 + 6 Combine like terms: -6 + 6 = 0 0 + 2.5x = 11.5 + 6 2.5x = 11.5 + 6 Combine like terms: 11.5 + 6 = 17.5 2.5x = 17.5 Divide each side by '2.5'. x = 7 Simplifying x = 7
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