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Simplifying 0.006(x + 6) = 0.010x + 0.016 Reorder the terms: 0.006(6 + x) = 0.010x + 0.016 (6 * 0.006 + x * 0.006) = 0.010x + 0.016 (0.036 + 0.006x) = 0.010x + 0.016 Reorder the terms: 0.036 + 0.006x = 0.016 + 0.010x Solving 0.036 + 0.006x = 0.016 + 0.010x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.010x' to each side of the equation. 0.036 + 0.006x + -0.010x = 0.016 + 0.010x + -0.010x Combine like terms: 0.006x + -0.010x = -0.004x 0.036 + -0.004x = 0.016 + 0.010x + -0.010x Combine like terms: 0.010x + -0.010x = 0.000 0.036 + -0.004x = 0.016 + 0.000 0.036 + -0.004x = 0.016 Add '-0.036' to each side of the equation. 0.036 + -0.036 + -0.004x = 0.016 + -0.036 Combine like terms: 0.036 + -0.036 = 0.000 0.000 + -0.004x = 0.016 + -0.036 -0.004x = 0.016 + -0.036 Combine like terms: 0.016 + -0.036 = -0.02 -0.004x = -0.02 Divide each side by '-0.004'. x = 5 Simplifying x = 5
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