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Simplifying 0.40(30) + 0.70x = 0.60(30 + x) Multiply 0.40 * 30 12 + 0.70x = 0.60(30 + x) 12 + 0.70x = (30 * 0.60 + x * 0.60) 12 + 0.70x = (18 + 0.60x) Solving 12 + 0.70x = 18 + 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. 12 + 0.70x + -0.60x = 18 + 0.60x + -0.60x Combine like terms: 0.70x + -0.60x = 0.1x 12 + 0.1x = 18 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 12 + 0.1x = 18 + 0.00 12 + 0.1x = 18 Add '-12' to each side of the equation. 12 + -12 + 0.1x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 0.1x = 18 + -12 0.1x = 18 + -12 Combine like terms: 18 + -12 = 6 0.1x = 6 Divide each side by '0.1'. x = 60 Simplifying x = 60
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