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Simplifying x + 0.07x + 0.1(x + 0.07) = 23 Reorder the terms: x + 0.07x + 0.1(0.07 + x) = 23 x + 0.07x + (0.07 * 0.1 + x * 0.1) = 23 x + 0.07x + (0.007 + 0.1x) = 23 Reorder the terms: 0.007 + x + 0.07x + 0.1x = 23 Combine like terms: x + 0.07x = 1.07x 0.007 + 1.07x + 0.1x = 23 Combine like terms: 1.07x + 0.1x = 1.17x 0.007 + 1.17x = 23 Solving 0.007 + 1.17x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.007' to each side of the equation. 0.007 + -0.007 + 1.17x = 23 + -0.007 Combine like terms: 0.007 + -0.007 = 0.000 0.000 + 1.17x = 23 + -0.007 1.17x = 23 + -0.007 Combine like terms: 23 + -0.007 = 22.993 1.17x = 22.993 Divide each side by '1.17'. x = 19.65213675 Simplifying x = 19.65213675
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