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Simplifying 0.375x + 4 = 0.2x + 5 Reorder the terms: 4 + 0.375x = 0.2x + 5 Reorder the terms: 4 + 0.375x = 5 + 0.2x Solving 4 + 0.375x = 5 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 4 + 0.375x + -0.2x = 5 + 0.2x + -0.2x Combine like terms: 0.375x + -0.2x = 0.175x 4 + 0.175x = 5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 4 + 0.175x = 5 + 0.0 4 + 0.175x = 5 Add '-4' to each side of the equation. 4 + -4 + 0.175x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 0.175x = 5 + -4 0.175x = 5 + -4 Combine like terms: 5 + -4 = 1 0.175x = 1 Divide each side by '0.175'. x = 5.714285714 Simplifying x = 5.714285714
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