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Simplifying 0.005(x + 3) = 0.006x + 0.012 Reorder the terms: 0.005(3 + x) = 0.006x + 0.012 (3 * 0.005 + x * 0.005) = 0.006x + 0.012 (0.015 + 0.005x) = 0.006x + 0.012 Reorder the terms: 0.015 + 0.005x = 0.012 + 0.006x Solving 0.015 + 0.005x = 0.012 + 0.006x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.006x' to each side of the equation. 0.015 + 0.005x + -0.006x = 0.012 + 0.006x + -0.006x Combine like terms: 0.005x + -0.006x = -0.001x 0.015 + -0.001x = 0.012 + 0.006x + -0.006x Combine like terms: 0.006x + -0.006x = 0.000 0.015 + -0.001x = 0.012 + 0.000 0.015 + -0.001x = 0.012 Add '-0.015' to each side of the equation. 0.015 + -0.015 + -0.001x = 0.012 + -0.015 Combine like terms: 0.015 + -0.015 = 0.000 0.000 + -0.001x = 0.012 + -0.015 -0.001x = 0.012 + -0.015 Combine like terms: 0.012 + -0.015 = -0.003 -0.001x = -0.003 Divide each side by '-0.001'. x = 3 Simplifying x = 3
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