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Simplifying 0.4x + 50 = 1.6x + 20 Reorder the terms: 50 + 0.4x = 1.6x + 20 Reorder the terms: 50 + 0.4x = 20 + 1.6x Solving 50 + 0.4x = 20 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 50 + 0.4x + -1.6x = 20 + 1.6x + -1.6x Combine like terms: 0.4x + -1.6x = -1.2x 50 + -1.2x = 20 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 50 + -1.2x = 20 + 0.0 50 + -1.2x = 20 Add '-50' to each side of the equation. 50 + -50 + -1.2x = 20 + -50 Combine like terms: 50 + -50 = 0 0 + -1.2x = 20 + -50 -1.2x = 20 + -50 Combine like terms: 20 + -50 = -30 -1.2x = -30 Divide each side by '-1.2'. x = 25 Simplifying x = 25
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