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Simplifying 0.80x + 0.25(100) = 0.70(x + 100) Multiply 0.25 * 100 0.80x + 25 = 0.70(x + 100) Reorder the terms: 25 + 0.80x = 0.70(x + 100) Reorder the terms: 25 + 0.80x = 0.70(100 + x) 25 + 0.80x = (100 * 0.70 + x * 0.70) 25 + 0.80x = (70 + 0.70x) Solving 25 + 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. 25 + 0.80x + -0.70x = 70 + 0.70x + -0.70x Combine like terms: 0.80x + -0.70x = 0.1x 25 + 0.1x = 70 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 25 + 0.1x = 70 + 0.00 25 + 0.1x = 70 Add '-25' to each side of the equation. 25 + -25 + 0.1x = 70 + -25 Combine like terms: 25 + -25 = 0 0 + 0.1x = 70 + -25 0.1x = 70 + -25 Combine like terms: 70 + -25 = 45 0.1x = 45 Divide each side by '0.1'. x = 450 Simplifying x = 450
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