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Simplifying 0.04 * 300 + 0.09x = 0.06(300 + x) Multiply 0.04 * 300 12 + 0.09x = 0.06(300 + x) 12 + 0.09x = (300 * 0.06 + x * 0.06) 12 + 0.09x = (18 + 0.06x) Solving 12 + 0.09x = 18 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 12 + 0.09x + -0.06x = 18 + 0.06x + -0.06x Combine like terms: 0.09x + -0.06x = 0.03x 12 + 0.03x = 18 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 12 + 0.03x = 18 + 0.00 12 + 0.03x = 18 Add '-12' to each side of the equation. 12 + -12 + 0.03x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 0.03x = 18 + -12 0.03x = 18 + -12 Combine like terms: 18 + -12 = 6 0.03x = 6 Divide each side by '0.03'. x = 200 Simplifying x = 200
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