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Simplifying 0.5x + 800 = 0.15x + 50 Reorder the terms: 800 + 0.5x = 0.15x + 50 Reorder the terms: 800 + 0.5x = 50 + 0.15x Solving 800 + 0.5x = 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 + 0.5x + -0.15x = 50 + 0.15x + -0.15x Combine like terms: 0.5x + -0.15x = 0.35x 800 + 0.35x = 50 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 800 + 0.35x = 50 + 0.00 800 + 0.35x = 50 Add '-800' to each side of the equation. 800 + -800 + 0.35x = 50 + -800 Combine like terms: 800 + -800 = 0 0 + 0.35x = 50 + -800 0.35x = 50 + -800 Combine like terms: 50 + -800 = -750 0.35x = -750 Divide each side by '0.35'. x = -2142.857143 Simplifying x = -2142.857143
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