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Simplifying 0.20(60) + 0.50x = 0.30(60 + x) Multiply 0.20 * 60 12 + 0.50x = 0.30(60 + x) 12 + 0.50x = (60 * 0.30 + x * 0.30) 12 + 0.50x = (18 + 0.30x) Solving 12 + 0.50x = 18 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 12 + 0.50x + -0.30x = 18 + 0.30x + -0.30x Combine like terms: 0.50x + -0.30x = 0.2x 12 + 0.2x = 18 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 12 + 0.2x = 18 + 0.00 12 + 0.2x = 18 Add '-12' to each side of the equation. 12 + -12 + 0.2x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 0.2x = 18 + -12 0.2x = 18 + -12 Combine like terms: 18 + -12 = 6 0.2x = 6 Divide each side by '0.2'. x = 30 Simplifying x = 30
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