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Simplifying 0.004x + 0.006(50 + -1x) = 0.004(68) 0.004x + (50 * 0.006 + -1x * 0.006) = 0.004(68) 0.004x + (0.3 + -0.006x) = 0.004(68) Reorder the terms: 0.3 + 0.004x + -0.006x = 0.004(68) Combine like terms: 0.004x + -0.006x = -0.002x 0.3 + -0.002x = 0.004(68) Multiply 0.004 * 68 0.3 + -0.002x = 0.272 Solving 0.3 + -0.002x = 0.272 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + -0.002x = 0.272 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.002x = 0.272 + -0.3 -0.002x = 0.272 + -0.3 Combine like terms: 0.272 + -0.3 = -0.028 -0.002x = -0.028 Divide each side by '-0.002'. x = 14 Simplifying x = 14
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