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Simplifying -0.05x + 800 = 0.15x + 50 Reorder the terms: 800 + -0.05x = 0.15x + 50 Reorder the terms: 800 + -0.05x = 50 + 0.15x Solving 800 + -0.05x = 50 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 800 + -0.05x + -0.15x = 50 + 0.15x + -0.15x Combine like terms: -0.05x + -0.15x = -0.2x 800 + -0.2x = 50 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 800 + -0.2x = 50 + 0.00 800 + -0.2x = 50 Add '-800' to each side of the equation. 800 + -800 + -0.2x = 50 + -800 Combine like terms: 800 + -800 = 0 0 + -0.2x = 50 + -800 -0.2x = 50 + -800 Combine like terms: 50 + -800 = -750 -0.2x = -750 Divide each side by '-0.2'. x = 3750 Simplifying x = 3750
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