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Simplifying 0.75x + 0.05(12 + -1x) = 0.10(62) 0.75x + (12 * 0.05 + -1x * 0.05) = 0.10(62) 0.75x + (0.6 + -0.05x) = 0.10(62) Reorder the terms: 0.6 + 0.75x + -0.05x = 0.10(62) Combine like terms: 0.75x + -0.05x = 0.7x 0.6 + 0.7x = 0.10(62) Multiply 0.10 * 62 0.6 + 0.7x = 6.2 Solving 0.6 + 0.7x = 6.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.7x = 6.2 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.7x = 6.2 + -0.6 0.7x = 6.2 + -0.6 Combine like terms: 6.2 + -0.6 = 5.6 0.7x = 5.6 Divide each side by '0.7'. x = 8 Simplifying x = 8
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