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Simplifying (0.5x) + (x + 65) = 500 Reorder the terms: (0.5x) + (65 + x) = 500 Remove parenthesis around (65 + x) (0.5x) + 65 + x = 500 Reorder the terms: 65 + (0.5x) + x = 500 Combine like terms: (0.5x) + x = 1.5x 65 + 1.5x = 500 Solving 65 + 1.5x = 500 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + 1.5x = 500 + -65 Combine like terms: 65 + -65 = 0 0 + 1.5x = 500 + -65 1.5x = 500 + -65 Combine like terms: 500 + -65 = 435 1.5x = 435 Divide each side by '1.5'. x = 290 Simplifying x = 290
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