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Simplifying 0.009(x + 3) = 0.012x + 0.006 Reorder the terms: 0.009(3 + x) = 0.012x + 0.006 (3 * 0.009 + x * 0.009) = 0.012x + 0.006 (0.027 + 0.009x) = 0.012x + 0.006 Reorder the terms: 0.027 + 0.009x = 0.006 + 0.012x Solving 0.027 + 0.009x = 0.006 + 0.012x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.012x' to each side of the equation. 0.027 + 0.009x + -0.012x = 0.006 + 0.012x + -0.012x Combine like terms: 0.009x + -0.012x = -0.003x 0.027 + -0.003x = 0.006 + 0.012x + -0.012x Combine like terms: 0.012x + -0.012x = 0.000 0.027 + -0.003x = 0.006 + 0.000 0.027 + -0.003x = 0.006 Add '-0.027' to each side of the equation. 0.027 + -0.027 + -0.003x = 0.006 + -0.027 Combine like terms: 0.027 + -0.027 = 0.000 0.000 + -0.003x = 0.006 + -0.027 -0.003x = 0.006 + -0.027 Combine like terms: 0.006 + -0.027 = -0.021 -0.003x = -0.021 Divide each side by '-0.003'. x = 7 Simplifying x = 7
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