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Simplifying 0.003(x + 6) = 0.004x + 0.013 Reorder the terms: 0.003(6 + x) = 0.004x + 0.013 (6 * 0.003 + x * 0.003) = 0.004x + 0.013 (0.018 + 0.003x) = 0.004x + 0.013 Reorder the terms: 0.018 + 0.003x = 0.013 + 0.004x Solving 0.018 + 0.003x = 0.013 + 0.004x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.004x' to each side of the equation. 0.018 + 0.003x + -0.004x = 0.013 + 0.004x + -0.004x Combine like terms: 0.003x + -0.004x = -0.001x 0.018 + -0.001x = 0.013 + 0.004x + -0.004x Combine like terms: 0.004x + -0.004x = 0.000 0.018 + -0.001x = 0.013 + 0.000 0.018 + -0.001x = 0.013 Add '-0.018' to each side of the equation. 0.018 + -0.018 + -0.001x = 0.013 + -0.018 Combine like terms: 0.018 + -0.018 = 0.000 0.000 + -0.001x = 0.013 + -0.018 -0.001x = 0.013 + -0.018 Combine like terms: 0.013 + -0.018 = -0.005 -0.001x = -0.005 Divide each side by '-0.001'. x = 5 Simplifying x = 5
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