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Simplifying 0.75x + 0.05(14 + -1x) = 0.10(91) 0.75x + (14 * 0.05 + -1x * 0.05) = 0.10(91) 0.75x + (0.7 + -0.05x) = 0.10(91) Reorder the terms: 0.7 + 0.75x + -0.05x = 0.10(91) Combine like terms: 0.75x + -0.05x = 0.7x 0.7 + 0.7x = 0.10(91) Multiply 0.10 * 91 0.7 + 0.7x = 9.1 Solving 0.7 + 0.7x = 9.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.7x = 9.1 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.7x = 9.1 + -0.7 0.7x = 9.1 + -0.7 Combine like terms: 9.1 + -0.7 = 8.4 0.7x = 8.4 Divide each side by '0.7'. x = 12 Simplifying x = 12
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