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Simplifying 0.75x + 0.05(6 + -1x) = 0.10(17) 0.75x + (6 * 0.05 + -1x * 0.05) = 0.10(17) 0.75x + (0.3 + -0.05x) = 0.10(17) Reorder the terms: 0.3 + 0.75x + -0.05x = 0.10(17) Combine like terms: 0.75x + -0.05x = 0.7x 0.3 + 0.7x = 0.10(17) Multiply 0.10 * 17 0.3 + 0.7x = 1.7 Solving 0.3 + 0.7x = 1.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.7x = 1.7 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.7x = 1.7 + -0.3 0.7x = 1.7 + -0.3 Combine like terms: 1.7 + -0.3 = 1.4 0.7x = 1.4 Divide each side by '0.7'. x = 2 Simplifying x = 2
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