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Simplifying 0.05x + 200.00 = 0.010x + 75.00 Reorder the terms: 200.00 + 0.05x = 0.010x + 75.00 Reorder the terms: 200.00 + 0.05x = 75.00 + 0.010x Solving 200.00 + 0.05x = 75.00 + 0.010x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.010x' to each side of the equation. 200.00 + 0.05x + -0.010x = 75.00 + 0.010x + -0.010x Combine like terms: 0.05x + -0.010x = 0.04x 200.00 + 0.04x = 75.00 + 0.010x + -0.010x Combine like terms: 0.010x + -0.010x = 0.000 200.00 + 0.04x = 75.00 + 0.000 200.00 + 0.04x = 75.00 Add '-200.00' to each side of the equation. 200.00 + -200.00 + 0.04x = 75.00 + -200.00 Combine like terms: 200.00 + -200.00 = 0.00 0.00 + 0.04x = 75.00 + -200.00 0.04x = 75.00 + -200.00 Combine like terms: 75.00 + -200.00 = -125 0.04x = -125 Divide each side by '0.04'. x = -3125 Simplifying x = -3125
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