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Simplifying 0.70x + 0.15(100) = 0.60(x + 100) Multiply 0.15 * 100 0.70x + 15 = 0.60(x + 100) Reorder the terms: 15 + 0.70x = 0.60(x + 100) Reorder the terms: 15 + 0.70x = 0.60(100 + x) 15 + 0.70x = (100 * 0.60 + x * 0.60) 15 + 0.70x = (60 + 0.60x) Solving 15 + 0.70x = 60 + 0.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.60x' to each side of the equation. 15 + 0.70x + -0.60x = 60 + 0.60x + -0.60x Combine like terms: 0.70x + -0.60x = 0.1x 15 + 0.1x = 60 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 15 + 0.1x = 60 + 0.00 15 + 0.1x = 60 Add '-15' to each side of the equation. 15 + -15 + 0.1x = 60 + -15 Combine like terms: 15 + -15 = 0 0 + 0.1x = 60 + -15 0.1x = 60 + -15 Combine like terms: 60 + -15 = 45 0.1x = 45 Divide each side by '0.1'. x = 450 Simplifying x = 450
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