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Simplifying 0.27(12) + 0.03x = 0.09(24 + x) Multiply 0.27 * 12 3.24 + 0.03x = 0.09(24 + x) 3.24 + 0.03x = (24 * 0.09 + x * 0.09) 3.24 + 0.03x = (2.16 + 0.09x) Solving 3.24 + 0.03x = 2.16 + 0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09x' to each side of the equation. 3.24 + 0.03x + -0.09x = 2.16 + 0.09x + -0.09x Combine like terms: 0.03x + -0.09x = -0.06x 3.24 + -0.06x = 2.16 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 3.24 + -0.06x = 2.16 + 0.00 3.24 + -0.06x = 2.16 Add '-3.24' to each side of the equation. 3.24 + -3.24 + -0.06x = 2.16 + -3.24 Combine like terms: 3.24 + -3.24 = 0.00 0.00 + -0.06x = 2.16 + -3.24 -0.06x = 2.16 + -3.24 Combine like terms: 2.16 + -3.24 = -1.08 -0.06x = -1.08 Divide each side by '-0.06'. x = 18 Simplifying x = 18
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