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Simplifying 0.10x + 0.005(6 + -1x) = 0.10(11) 0.10x + (6 * 0.005 + -1x * 0.005) = 0.10(11) 0.10x + (0.03 + -0.005x) = 0.10(11) Reorder the terms: 0.03 + 0.10x + -0.005x = 0.10(11) Combine like terms: 0.10x + -0.005x = 0.095x 0.03 + 0.095x = 0.10(11) Multiply 0.10 * 11 0.03 + 0.095x = 1.1 Solving 0.03 + 0.095x = 1.1 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 + 0.095x = 1.1 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + 0.095x = 1.1 + -0.03 0.095x = 1.1 + -0.03 Combine like terms: 1.1 + -0.03 = 1.07 0.095x = 1.07 Divide each side by '0.095'. x = 11.26315789 Simplifying x = 11.26315789
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