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Simplifying 0.7x + 0.05(20 + -1x) = 0.1(101) 0.7x + (20 * 0.05 + -1x * 0.05) = 0.1(101) 0.7x + (1 + -0.05x) = 0.1(101) Reorder the terms: 1 + 0.7x + -0.05x = 0.1(101) Combine like terms: 0.7x + -0.05x = 0.65x 1 + 0.65x = 0.1(101) Multiply 0.1 * 101 1 + 0.65x = 10.1 Solving 1 + 0.65x = 10.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.65x = 10.1 + -1 Combine like terms: 1 + -1 = 0 0 + 0.65x = 10.1 + -1 0.65x = 10.1 + -1 Combine like terms: 10.1 + -1 = 9.1 0.65x = 9.1 Divide each side by '0.65'. x = 14 Simplifying x = 14
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