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Simplifying 0.80x + 0.20(100) = 0.70(x + 100) Multiply 0.20 * 100 0.80x + 20 = 0.70(x + 100) Reorder the terms: 20 + 0.80x = 0.70(x + 100) Reorder the terms: 20 + 0.80x = 0.70(100 + x) 20 + 0.80x = (100 * 0.70 + x * 0.70) 20 + 0.80x = (70 + 0.70x) Solving 20 + 0.80x = 70 + 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. 20 + 0.80x + -0.70x = 70 + 0.70x + -0.70x Combine like terms: 0.80x + -0.70x = 0.1x 20 + 0.1x = 70 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 20 + 0.1x = 70 + 0.00 20 + 0.1x = 70 Add '-20' to each side of the equation. 20 + -20 + 0.1x = 70 + -20 Combine like terms: 20 + -20 = 0 0 + 0.1x = 70 + -20 0.1x = 70 + -20 Combine like terms: 70 + -20 = 50 0.1x = 50 Divide each side by '0.1'. x = 500 Simplifying x = 500
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