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Simplifying 0.2x + 80 = 45 + 0.4x Reorder the terms: 80 + 0.2x = 45 + 0.4x Solving 80 + 0.2x = 45 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 80 + 0.2x + -0.4x = 45 + 0.4x + -0.4x Combine like terms: 0.2x + -0.4x = -0.2x 80 + -0.2x = 45 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 80 + -0.2x = 45 + 0.0 80 + -0.2x = 45 Add '-80' to each side of the equation. 80 + -80 + -0.2x = 45 + -80 Combine like terms: 80 + -80 = 0 0 + -0.2x = 45 + -80 -0.2x = 45 + -80 Combine like terms: 45 + -80 = -35 -0.2x = -35 Divide each side by '-0.2'. x = 175 Simplifying x = 175
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