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Simplifying 0.40 + 0.70 * 100 = 0.60(100 + x) Multiply 0.70 * 100 0.40 + 70 = 0.60(100 + x) Combine like terms: 0.40 + 70 = 70.4 70.4 = 0.60(100 + x) 70.4 = (100 * 0.60 + x * 0.60) 70.4 = (60 + 0.60x) Solving 70.4 = 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. 70.4 + -0.60x = 60 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 70.4 + -0.60x = 60 + 0.00 70.4 + -0.60x = 60 Add '-70.4' to each side of the equation. 70.4 + -70.4 + -0.60x = 60 + -70.4 Combine like terms: 70.4 + -70.4 = 0.0 0.0 + -0.60x = 60 + -70.4 -0.60x = 60 + -70.4 Combine like terms: 60 + -70.4 = -10.4 -0.60x = -10.4 Divide each side by '-0.60'. x = 17.33333333 Simplifying x = 17.33333333
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