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Simplifying 110 + 0.20x = 80 + 0.70x Solving 110 + 0.20x = 80 + 0.70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.70x' to each side of the equation. 110 + 0.20x + -0.70x = 80 + 0.70x + -0.70x Combine like terms: 0.20x + -0.70x = -0.5x 110 + -0.5x = 80 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 110 + -0.5x = 80 + 0.00 110 + -0.5x = 80 Add '-110' to each side of the equation. 110 + -110 + -0.5x = 80 + -110 Combine like terms: 110 + -110 = 0 0 + -0.5x = 80 + -110 -0.5x = 80 + -110 Combine like terms: 80 + -110 = -30 -0.5x = -30 Divide each side by '-0.5'. x = 60 Simplifying x = 60
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