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Simplifying 0.80x + 0.20(60) = 0.70(x + 60) Multiply 0.20 * 60 0.80x + 12 = 0.70(x + 60) Reorder the terms: 12 + 0.80x = 0.70(x + 60) Reorder the terms: 12 + 0.80x = 0.70(60 + x) 12 + 0.80x = (60 * 0.70 + x * 0.70) 12 + 0.80x = (42 + 0.70x) Solving 12 + 0.80x = 42 + 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. 12 + 0.80x + -0.70x = 42 + 0.70x + -0.70x Combine like terms: 0.80x + -0.70x = 0.1x 12 + 0.1x = 42 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 12 + 0.1x = 42 + 0.00 12 + 0.1x = 42 Add '-12' to each side of the equation. 12 + -12 + 0.1x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 0.1x = 42 + -12 0.1x = 42 + -12 Combine like terms: 42 + -12 = 30 0.1x = 30 Divide each side by '0.1'. x = 300 Simplifying x = 300
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