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Simplifying 0.5x + 2(18) + 3(21) = 100 Multiply 2 * 18 0.5x + 36 + 3(21) = 100 Multiply 3 * 21 0.5x + 36 + 63 = 100 Reorder the terms: 36 + 63 + 0.5x = 100 Combine like terms: 36 + 63 = 99 99 + 0.5x = 100 Solving 99 + 0.5x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + 0.5x = 100 + -99 Combine like terms: 99 + -99 = 0 0 + 0.5x = 100 + -99 0.5x = 100 + -99 Combine like terms: 100 + -99 = 1 0.5x = 1 Divide each side by '0.5'. x = 2 Simplifying x = 2
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