Solve the equation 750 + 0.05x = 1,100 + 0.025x for x.
x = 140
x = 350
x = 1,850
x = 14,000
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To solve the equation (750 + 0.05x = 1,100 + 0.025x), follow these steps:
1. Isolate the variable (x): Start by moving all terms involving (x) to one side and constant terms to the other side.
[
0.05x – 0.025x = 1,100 – 750
]
2. Simplify the equation:
[
0.025x = 350
]
3. Solve for (x) by dividing both sides by (0.025):
[
x = frac{350}{0.025} = 14,000
]
So, the correct answer is (x = 14,000).
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