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Simplifying 0.50x + 3.5 = 0.40x + 4 Reorder the terms: 3.5 + 0.50x = 0.40x + 4 Reorder the terms: 3.5 + 0.50x = 4 + 0.40x Solving 3.5 + 0.50x = 4 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 3.5 + 0.50x + -0.40x = 4 + 0.40x + -0.40x Combine like terms: 0.50x + -0.40x = 0.1x 3.5 + 0.1x = 4 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 3.5 + 0.1x = 4 + 0.00 3.5 + 0.1x = 4 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 0.1x = 4 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.1x = 4 + -3.5 0.1x = 4 + -3.5 Combine like terms: 4 + -3.5 = 0.5 0.1x = 0.5 Divide each side by '0.1'. x = 5 Simplifying x = 5
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