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Simplifying 0.27(12) + 0.03x = 0.09(6 + x) Multiply 0.27 * 12 3.24 + 0.03x = 0.09(6 + x) 3.24 + 0.03x = (6 * 0.09 + x * 0.09) 3.24 + 0.03x = (0.54 + 0.09x) Solving 3.24 + 0.03x = 0.54 + 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 = 0.54 + 0.09x + -0.09x Combine like terms: 0.03x + -0.09x = -0.06x 3.24 + -0.06x = 0.54 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 3.24 + -0.06x = 0.54 + 0.00 3.24 + -0.06x = 0.54 Add '-3.24' to each side of the equation. 3.24 + -3.24 + -0.06x = 0.54 + -3.24 Combine like terms: 3.24 + -3.24 = 0.00 0.00 + -0.06x = 0.54 + -3.24 -0.06x = 0.54 + -3.24 Combine like terms: 0.54 + -3.24 = -2.7 -0.06x = -2.7 Divide each side by '-0.06'. x = 45 Simplifying x = 45
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