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Simplifying 0.70 + 0.10(100) = 0.60(x + 100) Multiply 0.10 * 100 0.70 + 10 = 0.60(x + 100) Combine like terms: 0.70 + 10 = 10.7 10.7 = 0.60(x + 100) Reorder the terms: 10.7 = 0.60(100 + x) 10.7 = (100 * 0.60 + x * 0.60) 10.7 = (60 + 0.60x) Solving 10.7 = 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. 10.7 + -0.60x = 60 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 10.7 + -0.60x = 60 + 0.00 10.7 + -0.60x = 60 Add '-10.7' to each side of the equation. 10.7 + -10.7 + -0.60x = 60 + -10.7 Combine like terms: 10.7 + -10.7 = 0.0 0.0 + -0.60x = 60 + -10.7 -0.60x = 60 + -10.7 Combine like terms: 60 + -10.7 = 49.3 -0.60x = 49.3 Divide each side by '-0.60'. x = -82.16666667 Simplifying x = -82.16666667
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