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Simplifying 0.30x + 360 = 0.50x + 100 Reorder the terms: 360 + 0.30x = 0.50x + 100 Reorder the terms: 360 + 0.30x = 100 + 0.50x Solving 360 + 0.30x = 100 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 360 + 0.30x + -0.50x = 100 + 0.50x + -0.50x Combine like terms: 0.30x + -0.50x = -0.2x 360 + -0.2x = 100 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 360 + -0.2x = 100 + 0.00 360 + -0.2x = 100 Add '-360' to each side of the equation. 360 + -360 + -0.2x = 100 + -360 Combine like terms: 360 + -360 = 0 0 + -0.2x = 100 + -360 -0.2x = 100 + -360 Combine like terms: 100 + -360 = -260 -0.2x = -260 Divide each side by '-0.2'. x = 1300 Simplifying x = 1300
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