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Simplifying x + 0.5x + 0.5(0.5x) + 0.5(1x) = 150 Remove parenthesis around (0.5x) x + 0.5x + 0.5 * 0.5x + 0.5(1x) = 150 Multiply 0.5 * 0.5 x + 0.5x + 0.25x + 0.5(1x) = 150 Remove parenthesis around (1x) x + 0.5x + 0.25x + 0.5 * 1x = 150 Multiply 0.5 * 1 x + 0.5x + 0.25x + 0.5x = 150 Combine like terms: x + 0.5x = 1.5x 1.5x + 0.25x + 0.5x = 150 Combine like terms: 1.5x + 0.25x = 1.75x 1.75x + 0.5x = 150 Combine like terms: 1.75x + 0.5x = 2.25x 2.25x = 150 Solving 2.25x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2.25'. x = 66.66666667 Simplifying x = 66.66666667
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