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Simplifying 0.70x + 0.005(6 + -1x) = 0.10(120) 0.70x + (6 * 0.005 + -1x * 0.005) = 0.10(120) 0.70x + (0.03 + -0.005x) = 0.10(120) Reorder the terms: 0.03 + 0.70x + -0.005x = 0.10(120) Combine like terms: 0.70x + -0.005x = 0.695x 0.03 + 0.695x = 0.10(120) Multiply 0.10 * 120 0.03 + 0.695x = 12 Solving 0.03 + 0.695x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03' to each side of the equation. 0.03 + -0.03 + 0.695x = 12 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + 0.695x = 12 + -0.03 0.695x = 12 + -0.03 Combine like terms: 12 + -0.03 = 11.97 0.695x = 11.97 Divide each side by '0.695'. x = 17.22302158 Simplifying x = 17.22302158
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