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Simplifying 0.80x + -0.20x + 6 = 0.70x Reorder the terms: 6 + 0.80x + -0.20x = 0.70x Combine like terms: 0.80x + -0.20x = 0.6x 6 + 0.6x = 0.70x Solving 6 + 0.6x = 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. 6 + 0.6x + -0.70x = 0.70x + -0.70x Combine like terms: 0.6x + -0.70x = -0.1x 6 + -0.1x = 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 6 + -0.1x = 0.00 Add '-6' to each side of the equation. 6 + -6 + -0.1x = 0.00 + -6 Combine like terms: 6 + -6 = 0 0 + -0.1x = 0.00 + -6 -0.1x = 0.00 + -6 Combine like terms: 0.00 + -6 = -6 -0.1x = -6 Divide each side by '-0.1'. x = 60 Simplifying x = 60
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